129657402864 has 240 divisors, whose sum is σ = 412315832320. Its totient is φ = 38978755200.

The previous prime is 129657402859. The next prime is 129657402887. The reversal of 129657402864 is 468204756921.

129657402864 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 574 + 0 + 2 + 8 + 64 = 666.

It is a super-2 number, since 2×129657402864² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 129657402864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6628779 + ... + 6648309.

Almost surely, 2^129657402864 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 129657402864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206157916160).

129657402864 is an abundant number, since it is smaller than the sum of its proper divisors (282658429456).

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

129657402864 is a wasteful number, since it uses less digits than its factorization.

129657402864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19697 (or 19674 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 129657402864 in words is "one hundred twenty-nine billion, six hundred fifty-seven million, four hundred two thousand, eight hundred sixty-four".