130811657990400 has 972 divisors, whose sum is σ = 503740323407412. Its totient is φ = 32273859870720.

The previous prime is 130811657990371. The next prime is 130811657990411. The reversal of 130811657990400 is 4099756118031.

130811657990400 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 1 + 165 + 79 + 9 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17002361585664 + 113809296404736 = 4123392^2 + 10668144^2 .

It is a super-2 number, since 2×130811657990400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3408576012 + ... + 3408614388.

Almost surely, 2^{130811657990400} is an apocalyptic number.

130811657990400 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 130811657990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251870161703706).

130811657990400 is an abundant number, since it is smaller than the sum of its proper divisors (372928665417012).

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

130811657990400 is a wasteful number, since it uses less digits than its factorization.

130811657990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38544 (or 38463 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 130811657990400 in words is "one hundred thirty trillion, eight hundred eleven billion, six hundred fifty-seven million, nine hundred ninety thousand, four hundred".