115390281646080 has 2048 divisors, whose sum is σ = 501265366272000. Its totient is φ = 24583486832640.

The previous prime is 115390281646049. The next prime is 115390281646091. The reversal of 115390281646080 is 80646182093511.

It is a happy number.

115390281646080 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 9 + 0 + 28 + 1 + 6 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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 127 ways as a sum of consecutive naturals, for example, 57379552275 + ... + 57379554285.

It is an arithmetic number, because the mean of its divisors is an integer number (244758479625).

Almost surely, 2^{115390281646080} is an apocalyptic number.

115390281646080 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 115390281646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250632683136000).

115390281646080 is an abundant number, since it is smaller than the sum of its proper divisors (385875084625920).

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

115390281646080 is a wasteful number, since it uses less digits than its factorization.

115390281646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 115390281646080 in words is "one hundred fifteen trillion, three hundred ninety billion, two hundred eighty-one million, six hundred forty-six thousand, eighty".