130716633600 has 1800 divisors, whose sum is σ = 587931619968. Its totient is φ = 28565913600.

The previous prime is 130716633559. The next prime is 130716633623. The reversal of 130716633600 is 6336617031.

130716633600 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 16 + 6 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1574899159 + ... + 1574899241.

Almost surely, 2^130716633600 is an apocalyptic number.

130716633600 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 130716633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293965809984).

130716633600 is an abundant number, since it is smaller than the sum of its proper divisors (457214986368).

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

130716633600 is an equidigital number, since it uses as much as digits as its factorization.

130716633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 130716633600 in words is "one hundred thirty billion, seven hundred sixteen million, six hundred thirty-three thousand, six hundred".