130638447636480 has 2496 divisors, whose sum is σ = 546367332895488. Its totient is φ = 28252663971840.

The previous prime is 130638447636469. The next prime is 130638447636481. The reversal of 130638447636480 is 84636744836031.

130638447636480 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 3 + 84 + 4 + 76 + 3 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130638447636481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329064099642 + ... + 329064100038.

It is an arithmetic number, because the mean of its divisors is an integer number (218897168628).

Almost surely, 2^{130638447636480} is an apocalyptic number.

130638447636480 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 130638447636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273183666447744).

130638447636480 is an abundant number, since it is smaller than the sum of its proper divisors (415728885259008).

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

130638447636480 is a wasteful number, since it uses less digits than its factorization.

130638447636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 130638447636480 in words is "one hundred thirty trillion, six hundred thirty-eight billion, four hundred forty-seven million, six hundred thirty-six thousand, four hundred eighty".