130077868032 has 720 divisors, whose sum is σ = 476044218720. Its totient is φ = 34879832064.

The previous prime is 130077868027. The next prime is 130077868033. The reversal of 130077868032 is 230868770031.

It is not an unprimeable number, because it can be changed into a prime (130077868033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368492368 + ... + 368492720.

It is an arithmetic number, because the mean of its divisors is an integer number (661172526).

Almost surely, 2^130077868032 is an apocalyptic number.

130077868032 is a gapful number since it is divisible by the number (12) 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 130077868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238022109360).

130077868032 is an abundant number, since it is smaller than the sum of its proper divisors (345966350688).

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

130077868032 is an equidigital number, since it uses as much as digits as its factorization.

130077868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 130077868032 in words is "one hundred thirty billion, seventy-seven million, eight hundred sixty-eight thousand, thirty-two".