130900016822400 has 2688 divisors, whose sum is σ = 588847289932800. Its totient is φ = 28073236193280.

The previous prime is 130900016822369. The next prime is 130900016822413. The reversal of 130900016822400 is 4228610009031.

130900016822400 is a `hidden beast` number, since 1 + 3 + 0 + 90 + 0 + 0 + 168 + 2 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 335 ways as a sum of consecutive naturals, for example, 33198074829 + ... + 33198078771.

Almost surely, 2^{130900016822400} is an apocalyptic number.

130900016822400 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 130900016822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294423644966400).

130900016822400 is an abundant number, since it is smaller than the sum of its proper divisors (457947273110400).

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

130900016822400 is a wasteful number, since it uses less digits than its factorization.

130900016822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 130900016822400 in words is "one hundred thirty trillion, nine hundred billion, sixteen million, eight hundred twenty-two thousand, four hundred".