115756929161640 has 384 divisors, whose sum is σ = 407615361753600. Its totient is φ = 28489205122560.

The previous prime is 115756929161639. The next prime is 115756929161651. The reversal of 115756929161640 is 46161929657511.

115756929161640 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 5 + 6 + 9 + 2 + 9 + 1 + 616 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7807163907 + ... + 7807178733.

It is an arithmetic number, because the mean of its divisors is an integer number (1061498337900).

Almost surely, 2^{115756929161640} is an apocalyptic number.

115756929161640 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 115756929161640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203807680876800).

115756929161640 is an abundant number, since it is smaller than the sum of its proper divisors (291858432591960).

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

115756929161640 is a wasteful number, since it uses less digits than its factorization.

115756929161640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24754 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 115756929161640 in words is "one hundred fifteen trillion, seven hundred fifty-six billion, nine hundred twenty-nine million, one hundred sixty-one thousand, six hundred forty".