115645870080 has 936 divisors, whose sum is σ = 461325245472. Its totient is φ = 26631733248.

The previous prime is 115645870051. The next prime is 115645870099. The reversal of 115645870080 is 80078546511.

115645870080 is a `hidden beast` number, since 1 + 1 + 5 + 64 + 587 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 692490157 + ... + 692490323.

It is an arithmetic number, because the mean of its divisors is an integer number (492868852).

Almost surely, 2^115645870080 is an apocalyptic number.

115645870080 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 115645870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230662622736).

115645870080 is an abundant number, since it is smaller than the sum of its proper divisors (345679375392).

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

115645870080 is a wasteful number, since it uses less digits than its factorization.

115645870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 115645870080 in words is "one hundred fifteen billion, six hundred forty-five million, eight hundred seventy thousand, eighty".