12865755600 has 90 divisors (see below), whose sum is σ = 44647758246. Its totient is φ = 3430867200.

The previous prime is 12865755599. The next prime is 12865755641. The reversal of 12865755600 is 655756821.

12865755600 is a `hidden beast` number, since 1 + 2 + 86 + 5 + 7 + 5 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2297093184 + 10568662416 = 47928^2 + 102804^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 1783311 + ... + 1790510.

Almost surely, 2^12865755600 is an apocalyptic number.

12865755600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12865755600 is an abundant number, since it is smaller than the sum of its proper divisors (31782002646).

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

12865755600 is a wasteful number, since it uses less digits than its factorization.

12865755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573845 (or 3573831 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 12865755600 in words is "twelve billion, eight hundred sixty-five million, seven hundred fifty-five thousand, six hundred".