12907602935136 has 1728 divisors, whose sum is σ = 50199835795200. Its totient is φ = 3228986363904.

The previous prime is 12907602935083. The next prime is 12907602935173. The reversal of 12907602935136 is 63153920670921.

12907602935136 is a `hidden beast` number, since 1 + 29 + 0 + 7 + 602 + 9 + 3 + 5 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×12907602935136² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8475116071 + ... + 8475117593.

It is an arithmetic number, because the mean of its divisors is an integer number (29050830900).

Almost surely, 2^{12907602935136} is an apocalyptic number.

12907602935136 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 12907602935136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099917897600).

12907602935136 is an abundant number, since it is smaller than the sum of its proper divisors (37292232860064).

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

12907602935136 is a wasteful number, since it uses less digits than its factorization.

12907602935136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 12907602935136 in words is "twelve trillion, nine hundred seven billion, six hundred two million, nine hundred thirty-five thousand, one hundred thirty-six".