12156795833688 has 512 divisors, whose sum is σ = 38406099456000. Its totient is φ = 3530674667520.

The previous prime is 12156795833671. The next prime is 12156795833723. The reversal of 12156795833688 is 88633859765121.

12156795833688 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 6 + 7 + 9 + 583 + 36 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3651784408 + ... + 3651787736.

It is an arithmetic number, because the mean of its divisors is an integer number (75011913000).

Almost surely, 2^{12156795833688} is an apocalyptic number.

12156795833688 is a gapful number since it is divisible by the number (18) 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 12156795833688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203049728000).

12156795833688 is an abundant number, since it is smaller than the sum of its proper divisors (26249303622312).

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

12156795833688 is a wasteful number, since it uses less digits than its factorization.

12156795833688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4062 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 12156795833688 in words is "twelve trillion, one hundred fifty-six billion, seven hundred ninety-five million, eight hundred thirty-three thousand, six hundred eighty-eight".