130946399539200 has 1872 divisors, whose sum is σ = 560728747134720. Its totient is φ = 29869572096000.

The previous prime is 130946399539057. The next prime is 130946399539223. The reversal of 130946399539200 is 2935993649031.

130946399539200 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 4 + 6 + 3 + 99 + 539 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123417906670 + ... + 123417907730.

Almost surely, 2^{130946399539200} is an apocalyptic number.

130946399539200 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 130946399539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280364373567360).

130946399539200 is an abundant number, since it is smaller than the sum of its proper divisors (429782347595520).

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

130946399539200 is a wasteful number, since it uses less digits than its factorization.

130946399539200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 42515280, while the sum is 63.

The spelling of 130946399539200 in words is "one hundred thirty trillion, nine hundred forty-six billion, three hundred ninety-nine million, five hundred thirty-nine thousand, two hundred".