116257320748800 has 8640 divisors, whose sum is σ = 610497885634560. Its totient is φ = 21069103104000.

The previous prime is 116257320748769. The next prime is 116257320748813. The reversal of 116257320748800 is 8847023752611.

116257320748800 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 573 + 20 + 7 + 48 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 915411974337 + ... + 915411974463.

It is an arithmetic number, because the mean of its divisors is an integer number (70659477504).

Almost surely, 2^{116257320748800} is an apocalyptic number.

116257320748800 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 116257320748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305248942817280).

116257320748800 is an abundant number, since it is smaller than the sum of its proper divisors (494240564885760).

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

116257320748800 is a wasteful number, since it uses less digits than its factorization.

116257320748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 116257320748800 in words is "one hundred sixteen trillion, two hundred fifty-seven billion, three hundred twenty million, seven hundred forty-eight thousand, eight hundred".