130879376320 has 336 divisors, whose sum is σ = 396660136320. Its totient is φ = 40673740800.

The previous prime is 130879376311. The next prime is 130879376321. The reversal of 130879376320 is 23673978031.

It is a super-2 number, since 2×130879376320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130879376321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72268215 + ... + 72270025.

It is an arithmetic number, because the mean of its divisors is an integer number (1180536120).

Almost surely, 2^130879376320 is an apocalyptic number.

130879376320 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 130879376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198330068160).

130879376320 is an abundant number, since it is smaller than the sum of its proper divisors (265780760000).

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

130879376320 is a wasteful number, since it uses less digits than its factorization.

130879376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 130879376320 in words is "one hundred thirty billion, eight hundred seventy-nine million, three hundred seventy-six thousand, three hundred twenty".