115299680256000 has 1520 divisors, whose sum is σ = 450037810603680. Its totient is φ = 29128340275200.

The previous prime is 115299680255989. The next prime is 115299680256011. The reversal of 115299680256000 is 652086992511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

115299680256000 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 9 + 9 + 6 + 8 + 0 + 25 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115299680255989) and next prime (115299680256011).

It is a tau number, because it is divible by the number of its divisors (1520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 115299680256000 = 6080³ + 48640³ = 27360³ + 45600³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6068404223991 + ... + 6068404224009.

Almost surely, 2^{115299680256000} is an apocalyptic number.

115299680256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115299680256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225018905301840).

115299680256000 is an abundant number, since it is smaller than the sum of its proper divisors (334738130347680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115299680256000 is an frugal number, since it uses more digits than its factorization.

115299680256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 115299680256000 in words is "one hundred fifteen trillion, two hundred ninety-nine billion, six hundred eighty million, two hundred fifty-six thousand".