138579478560 has 576 divisors, whose sum is σ = 528353280000. Its totient is φ = 34200714240.

The previous prime is 138579478517. The next prime is 138579478673. The reversal of 138579478560 is 65874975831.

138579478560 is a `hidden beast` number, since 1 + 3 + 8 + 579 + 4 + 7 + 8 + 56 + 0 = 666.

It is a super-2 number, since 2×138579478560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27718941 + ... + 27723939.

It is an arithmetic number, because the mean of its divisors is an integer number (917280000).

Almost surely, 2^138579478560 is an apocalyptic number.

138579478560 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 138579478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640000).

138579478560 is an abundant number, since it is smaller than the sum of its proper divisors (389773801440).

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

138579478560 is a wasteful number, since it uses less digits than its factorization.

138579478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 138579478560 in words is "one hundred thirty-eight billion, five hundred seventy-nine million, four hundred seventy-eight thousand, five hundred sixty".