130357812499200 has 3456 divisors, whose sum is σ = 610754099235840. Its totient is φ = 26709825945600.

The previous prime is 130357812499193. The next prime is 130357812499223. The reversal of 130357812499200 is 2994218753031.

130357812499200 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 57 + 81 + 2 + 499 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15542837407 + ... + 15542845793.

It is an arithmetic number, because the mean of its divisors is an integer number (176722829640).

Almost surely, 2^{130357812499200} is an apocalyptic number.

130357812499200 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 130357812499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305377049617920).

130357812499200 is an abundant number, since it is smaller than the sum of its proper divisors (480396286736640).

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

130357812499200 is a wasteful number, since it uses less digits than its factorization.

130357812499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 130357812499200 in words is "one hundred thirty trillion, three hundred fifty-seven billion, eight hundred twelve million, four hundred ninety-nine thousand, two hundred".