129757854305664 has 192 divisors, whose sum is σ = 402136833898800. Its totient is φ = 39923244748800.

The previous prime is 129757854305663. The next prime is 129757854305683. The reversal of 129757854305664 is 466503458757921.

129757854305664 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 5 + 7 + 8 + 54 + 3 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 129757854305592 and 129757854305601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129757854305663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276087382 + ... + 276556970.

It is a 1-persistent number, because it is pandigital, but 2⋅129757854305664 = 259515708611328 is not.

Almost surely, 2^{129757854305664} 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 129757854305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201068416949400).

129757854305664 is an abundant number, since it is smaller than the sum of its proper divisors (272378979593136).

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

129757854305664 is a wasteful number, since it uses less digits than its factorization.

129757854305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488073 (or 488058 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 129757854305664 in words is "one hundred twenty-nine trillion, seven hundred fifty-seven billion, eight hundred fifty-four million, three hundred five thousand, six hundred sixty-four".