115506056565600 has 72 divisors (see below), whose sum is σ = 375972214128840. Its totient is φ = 30801615083520.

The previous prime is 115506056565577. The next prime is 115506056565619. The reversal of 115506056565600 is 6565650605511.

It is a super-3 number, since 3×115506056565600³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24063759385 + ... + 24063764184.

It is an arithmetic number, because the mean of its divisors is an integer number (5221836307345).

Almost surely, 2^{115506056565600} is an apocalyptic number.

115506056565600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115506056565600 is an abundant number, since it is smaller than the sum of its proper divisors (260466157563240).

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

115506056565600 is a wasteful number, since it uses less digits than its factorization.

115506056565600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48127523592 (or 48127523579 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 115506056565600 in words is "one hundred fifteen trillion, five hundred six billion, fifty-six million, five hundred sixty-five thousand, six hundred".