130763505600 has 2688 divisors, whose sum is σ = 643425484800. Its totient is φ = 25082265600.

The previous prime is 130763505599. The next prime is 130763505617. The reversal of 130763505600 is 6505367031.

130763505600 = 268³ + 269³ + ... + 852³.

It is a happy number.

130763505600 is a `hidden beast` number, since 1 + 30 + 7 + 63 + 5 + 0 + 560 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 3534148782 + ... + 3534148818.

It is an arithmetic number, because the mean of its divisors is an integer number (239369600).

Almost surely, 2^130763505600 is an apocalyptic number.

130763505600 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 130763505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321712742400).

130763505600 is an abundant number, since it is smaller than the sum of its proper divisors (512661979200).

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

130763505600 is a wasteful number, since it uses less digits than its factorization.

130763505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 130763505600 in words is "one hundred thirty billion, seven hundred sixty-three million, five hundred five thousand, six hundred".