130807872000 has 960 divisors, whose sum is σ = 526992770304. Its totient is φ = 32149094400.

The previous prime is 130807871993. The next prime is 130807872029. The reversal of 130807872000 is 278708031.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×130807872000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202175677 + ... + 202176323.

Almost surely, 2^130807872000 is an apocalyptic number.

130807872000 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 130807872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263496385152).

130807872000 is an abundant number, since it is smaller than the sum of its proper divisors (396184898304).

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

130807872000 is an frugal number, since it uses more digits than its factorization.

130807872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 130807872000 in words is "one hundred thirty billion, eight hundred seven million, eight hundred seventy-two thousand".