130979571920 has 80 divisors (see below), whose sum is σ = 320698759680. Its totient is φ = 49612147200.

The previous prime is 130979571889. The next prime is 130979571923. The reversal of 130979571920 is 29175979031.

130979571920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 361911²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130979571923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3601025 + ... + 3637215.

It is an arithmetic number, because the mean of its divisors is an integer number (4008734496).

Almost surely, 2^130979571920 is an apocalyptic number.

130979571920 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 130979571920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160349379840).

130979571920 is an abundant number, since it is smaller than the sum of its proper divisors (189719187760).

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

130979571920 is a wasteful number, since it uses less digits than its factorization.

130979571920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38604 (or 38598 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 53.

The spelling of 130979571920 in words is "one hundred thirty billion, nine hundred seventy-nine million, five hundred seventy-one thousand, nine hundred twenty".