115687501776 has 1080 divisors, whose sum is σ = 448062572160. Its totient is φ = 28460678400.

The previous prime is 115687501757. The next prime is 115687501793. The reversal of 115687501776 is 677105786511.

115687501776 is a `hidden beast` number, since 1 + 1 + 5 + 68 + 7 + 501 + 7 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2461436185 + ... + 2461436231.

It is an arithmetic number, because the mean of its divisors is an integer number (414872752).

Almost surely, 2^115687501776 is an apocalyptic number.

115687501776 is a gapful number since it is divisible by the number (16) 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 115687501776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224031286080).

115687501776 is an abundant number, since it is smaller than the sum of its proper divisors (332375070384).

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

115687501776 is a wasteful number, since it uses less digits than its factorization.

115687501776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 115687501776 in words is "one hundred fifteen billion, six hundred eighty-seven million, five hundred one thousand, seven hundred seventy-six".