130930626400 has 432 divisors, whose sum is σ = 393274828800. Its totient is φ = 42323420160.

The previous prime is 130930626397. The next prime is 130930626473. The reversal of 130930626400 is 4626039031.

It is a happy number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 273341361 + ... + 273341839.

It is an arithmetic number, because the mean of its divisors is an integer number (910358400).

Almost surely, 2^130930626400 is an apocalyptic number.

130930626400 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 130930626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196637414400).

130930626400 is an abundant number, since it is smaller than the sum of its proper divisors (262344202400).

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

130930626400 is a wasteful number, since it uses less digits than its factorization.

130930626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 130930626400 in words is "one hundred thirty billion, nine hundred thirty million, six hundred twenty-six thousand, four hundred".