130362618355200 has 2160 divisors, whose sum is σ = 601912542110880. Its totient is φ = 26355489177600.

The previous prime is 130362618355171. The next prime is 130362618355213. The reversal of 130362618355200 is 2553816263031.

130362618355200 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 6 + 2 + 618 + 3 + 5 + 5 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3610234746 + ... + 3610270854.

Almost surely, 2^{130362618355200} is an apocalyptic number.

130362618355200 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 130362618355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300956271055440).

130362618355200 is an abundant number, since it is smaller than the sum of its proper divisors (471549923755680).

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

130362618355200 is a wasteful number, since it uses less digits than its factorization.

130362618355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36209 (or 36174 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 130362618355200 in words is "one hundred thirty trillion, three hundred sixty-two billion, six hundred eighteen million, three hundred fifty-five thousand, two hundred".