130684057504 has 384 divisors, whose sum is σ = 358250618880. Its totient is φ = 45287424000.

The previous prime is 130684057499. The next prime is 130684057523. The reversal of 130684057504 is 405750486031.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 108812104 + ... + 108813304.

It is an arithmetic number, because the mean of its divisors is an integer number (932944320).

Almost surely, 2^130684057504 is an apocalyptic number.

130684057504 is a gapful number since it is divisible by the number (14) 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 130684057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179125309440).

130684057504 is an abundant number, since it is smaller than the sum of its proper divisors (227566561376).

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

130684057504 is a wasteful number, since it uses less digits than its factorization.

130684057504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 130684057504 in words is "one hundred thirty billion, six hundred eighty-four million, fifty-seven thousand, five hundred four".