129161520255624 has 256 divisors, whose sum is σ = 355173069024000. Its totient is φ = 38983517798400.

The previous prime is 129161520255613. The next prime is 129161520255641. The reversal of 129161520255624 is 426552025161921.

It is a happy number.

It is a Cunningham number, because it is equal to 11364925²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12524141092 + ... + 12524151404.

It is an arithmetic number, because the mean of its divisors is an integer number (1387394800875).

Almost surely, 2^{129161520255624} 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 129161520255624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177586534512000).

129161520255624 is an abundant number, since it is smaller than the sum of its proper divisors (226011548768376).

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

129161520255624 is a wasteful number, since it uses less digits than its factorization.

129161520255624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19848 (or 19844 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 129161520255624 in words is "one hundred twenty-nine trillion, one hundred sixty-one billion, five hundred twenty million, two hundred fifty-five thousand, six hundred twenty-four".