130627779200 has 96 divisors (see below), whose sum is σ = 322991185500. Its totient is φ = 52202577920.

The previous prime is 130627779193. The next prime is 130627779223. The reversal of 130627779200 is 2977726031.

It can be written as a sum of positive squares in 6 ways, for example, as 7886860864 + 122740918336 = 88808^2 + 350344^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3530396 + ... + 3567204.

Almost surely, 2^130627779200 is an apocalyptic number.

130627779200 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 130627779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161495592750).

130627779200 is an abundant number, since it is smaller than the sum of its proper divisors (192363406300).

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

130627779200 is a wasteful number, since it uses less digits than its factorization.

130627779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37942 (or 37925 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The spelling of 130627779200 in words is "one hundred thirty billion, six hundred twenty-seven million, seven hundred seventy-nine thousand, two hundred".