130056962400 has 216 divisors, whose sum is σ = 461916294840. Its totient is φ = 34432081920.

The previous prime is 130056962383. The next prime is 130056962417. The reversal of 130056962400 is 4269650031.

It is a happy number.

130056962400 is a `hidden beast` number, since 1 + 30 + 0 + 569 + 62 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130056962383) and next prime (130056962417).

It is a super-4 number, since 4×130056962400⁴ (a number of 46 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 935824 + ... + 1065776.

It is an arithmetic number, because the mean of its divisors is an integer number (2138501365).

Almost surely, 2^130056962400 is an apocalyptic number.

130056962400 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 130056962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230958147420).

130056962400 is an abundant number, since it is smaller than the sum of its proper divisors (331859332440).

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

130056962400 is a wasteful number, since it uses less digits than its factorization.

130056962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130118 (or 130102 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 130056962400 in words is "one hundred thirty billion, fifty-six million, nine hundred sixty-two thousand, four hundred".