130639262400 has 420 divisors, whose sum is σ = 481304643688. Its totient is φ = 34756853760.

The previous prime is 130639262389. The next prime is 130639262471. The reversal of 130639262400 is 4262936031.

130639262400 is a `hidden beast` number, since 13 + 0 + 639 + 2 + 6 + 2 + 4 + 0 + 0 = 666.

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

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 59 ways as a sum of consecutive naturals, for example, 74778327 + ... + 74780073.

Almost surely, 2^130639262400 is an apocalyptic number.

130639262400 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 130639262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240652321844).

130639262400 is an abundant number, since it is smaller than the sum of its proper divisors (350665381288).

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

130639262400 is a wasteful number, since it uses less digits than its factorization.

130639262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 130639262400 in words is "one hundred thirty billion, six hundred thirty-nine million, two hundred sixty-two thousand, four hundred".