130510616654400 has 168 divisors, whose sum is σ = 428188775872704. Its totient is φ = 34802408908800.

The previous prime is 130510616654393. The next prime is 130510616654401. The reversal of 130510616654400 is 4456616015031.

It is not an unprimeable number, because it can be changed into a prime (130510616654401) 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, 776704794 + ... + 776872806.

It is an arithmetic number, because the mean of its divisors is an integer number (2548742713528).

Almost surely, 2^{130510616654400} is an apocalyptic number.

130510616654400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130510616654400 is an abundant number, since it is smaller than the sum of its proper divisors (297678159218304).

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

130510616654400 is a wasteful number, since it uses less digits than its factorization.

130510616654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329869 (or 329854 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 130510616654400 in words is "one hundred thirty trillion, five hundred ten billion, six hundred sixteen million, six hundred fifty-four thousand, four hundred".