12900157421568 has 288 divisors, whose sum is σ = 36692060212080. Its totient is φ = 4029609410560.

The previous prime is 12900157421491. The next prime is 12900157421579. The reversal of 12900157421568 is 86512475100921.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 12900157421568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413702938 + ... + 413734118.

Almost surely, 2^{12900157421568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12900157421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346030106040).

12900157421568 is an abundant number, since it is smaller than the sum of its proper divisors (23791902790512).

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

12900157421568 is a wasteful number, since it uses less digits than its factorization.

12900157421568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31473 (or 31436 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 12900157421568 in words is "twelve trillion, nine hundred billion, one hundred fifty-seven million, four hundred twenty-one thousand, five hundred sixty-eight".