12616552655600 has 60 divisors (see below), whose sum is σ = 30443631590760. Its totient is φ = 5024583379200.

The previous prime is 12616552655593. The next prime is 12616552655611. The reversal of 12616552655600 is 655625561621.

12616552655600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12616552655600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 68776046 + ... + 68959245.

It is an arithmetic number, because the mean of its divisors is an integer number (507393859846).

Almost surely, 2^{12616552655600} is an apocalyptic number.

12616552655600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12616552655600 is an abundant number, since it is smaller than the sum of its proper divisors (17827078935160).

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

12616552655600 is a wasteful number, since it uses less digits than its factorization.

12616552655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137735538 (or 137735527 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 50.

The spelling of 12616552655600 in words is "twelve trillion, six hundred sixteen billion, five hundred fifty-two million, six hundred fifty-five thousand, six hundred".