130648752057600 has 1296 divisors, whose sum is σ = 558883619159040. Its totient is φ = 29777294131200.

The previous prime is 130648752057587. The next prime is 130648752057617. The reversal of 130648752057600 is 6750257846031.

130648752057600 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 8 + 7 + 5 + 20 + 5 + 7 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2988899745 + ... + 2988943455.

Almost surely, 2^{130648752057600} is an apocalyptic number.

130648752057600 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 130648752057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279441809579520).

130648752057600 is an abundant number, since it is smaller than the sum of its proper divisors (428234867101440).

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

130648752057600 is a wasteful number, since it uses less digits than its factorization.

130648752057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44113 (or 44081 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 130648752057600 in words is "one hundred thirty trillion, six hundred forty-eight billion, seven hundred fifty-two million, fifty-seven thousand, six hundred".