130911908400 has 900 divisors, whose sum is σ = 588673957872. Its totient is φ = 27616619520.

The previous prime is 130911908377. The next prime is 130911908453. The reversal of 130911908400 is 4809119031.

130911908400 is a `hidden beast` number, since 130 + 9 + 119 + 0 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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, 20635629 + ... + 20641971.

Almost surely, 2^130911908400 is an apocalyptic number.

130911908400 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 130911908400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336978936).

130911908400 is an abundant number, since it is smaller than the sum of its proper divisors (457762049472).

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

130911908400 is a wasteful number, since it uses less digits than its factorization.

130911908400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 130911908400 in words is "one hundred thirty billion, nine hundred eleven million, nine hundred eight thousand, four hundred".