130007928960 has 1920 divisors, whose sum is σ = 605117399040. Its totient is φ = 26336378880.

The previous prime is 130007928949. The next prime is 130007928979. The reversal of 130007928960 is 69829700031.

130007928960 is a `hidden beast` number, since 1 + 300 + 0 + 7 + 9 + 289 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1023684417 + ... + 1023684543.

It is an arithmetic number, because the mean of its divisors is an integer number (315165312).

Almost surely, 2^130007928960 is an apocalyptic number.

130007928960 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 130007928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302558699520).

130007928960 is an abundant number, since it is smaller than the sum of its proper divisors (475109470080).

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

130007928960 is a wasteful number, since it uses less digits than its factorization.

130007928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 130007928960 in words is "one hundred thirty billion, seven million, nine hundred twenty-eight thousand, nine hundred sixty".