130916966400 has 756 divisors, whose sum is σ = 516330101196. Its totient is φ = 31683379200.

The previous prime is 130916966387. The next prime is 130916966429. The reversal of 130916966400 is 4669619031.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 223026907 + ... + 223027493.

Almost surely, 2^130916966400 is an apocalyptic number.

130916966400 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 130916966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258165050598).

130916966400 is an abundant number, since it is smaller than the sum of its proper divisors (385413134796).

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

130916966400 is a wasteful number, since it uses less digits than its factorization.

130916966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 130916966400 in words is "one hundred thirty billion, nine hundred sixteen million, nine hundred sixty-six thousand, four hundred".