130872574011520 has 1024 divisors, whose sum is σ = 371337903360000. Its totient is φ = 43579604992000.

The previous prime is 130872574011499. The next prime is 130872574011589. The reversal of 130872574011520 is 25110475278031.

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 127 ways as a sum of consecutive naturals, for example, 257117041026 + ... + 257117041534.

It is an arithmetic number, because the mean of its divisors is an integer number (362634671250).

Almost surely, 2^{130872574011520} is an apocalyptic number.

130872574011520 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 130872574011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185668951680000).

130872574011520 is an abundant number, since it is smaller than the sum of its proper divisors (240465329348480).

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

130872574011520 is a wasteful number, since it uses less digits than its factorization.

130872574011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 130872574011520 in words is "one hundred thirty trillion, eight hundred seventy-two billion, five hundred seventy-four million, eleven thousand, five hundred twenty".