130811662800 has 1440 divisors, whose sum is σ = 605535909888. Its totient is φ = 26358773760.

The previous prime is 130811662727. The next prime is 130811662819. The reversal of 130811662800 is 8266118031.

130811662800 is a `hidden beast` number, since 1 + 308 + 11 + 66 + 280 + 0 = 666.

It is a super-2 number, since 2×130811662800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 203439279 + ... + 203439921.

Almost surely, 2^130811662800 is an apocalyptic number.

130811662800 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 130811662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302767954944).

130811662800 is an abundant number, since it is smaller than the sum of its proper divisors (474724247088).

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

130811662800 is a wasteful number, since it uses less digits than its factorization.

130811662800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 130811662800 in words is "one hundred thirty billion, eight hundred eleven million, six hundred sixty-two thousand, eight hundred".