130407552000 has 1056 divisors, whose sum is σ = 527250342528. Its totient is φ = 30720000000.

The previous prime is 130407551999. The next prime is 130407552019. The reversal of 130407552000 is 255704031.

It is a happy number.

130407552000 is a `hidden beast` number, since 1 + 3 + 0 + 407 + 55 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×130407552000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519551875 + ... + 519552125.

Almost surely, 2^130407552000 is an apocalyptic number.

130407552000 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 130407552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263625171264).

130407552000 is an abundant number, since it is smaller than the sum of its proper divisors (396842790528).

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

130407552000 is a wasteful number, since it uses less digits than its factorization.

130407552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 130407552000 in words is "one hundred thirty billion, four hundred seven million, five hundred fifty-two thousand".