130516683897600 has 7776 divisors, whose sum is σ = 671006340845568. Its totient is φ = 23463198720000.

The previous prime is 130516683897571. The next prime is 130516683897617. The reversal of 130516683897600 is 6798386615031.

130516683897600 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 16 + 6 + 8 + 3 + 8 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 952676524732 + ... + 952676524868.

Almost surely, 2^{130516683897600} is an apocalyptic number.

130516683897600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130516683897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335503170422784).

130516683897600 is an abundant number, since it is smaller than the sum of its proper divisors (540489656947968).

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

130516683897600 is a wasteful number, since it uses less digits than its factorization.

130516683897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 130516683897600 in words is "one hundred thirty trillion, five hundred sixteen billion, six hundred eighty-three million, eight hundred ninety-seven thousand, six hundred".