138789604800 has 2016 divisors, whose sum is σ = 672149836800. Its totient is φ = 26276659200.

The previous prime is 138789604769. The next prime is 138789604819. The reversal of 138789604800 is 8406987831.

138789604800 is a `hidden beast` number, since 1 + 3 + 8 + 78 + 96 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 697435101 + ... + 697435299.

Almost surely, 2^138789604800 is an apocalyptic number.

138789604800 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 138789604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336074918400).

138789604800 is an abundant number, since it is smaller than the sum of its proper divisors (533360232000).

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

138789604800 is a wasteful number, since it uses less digits than its factorization.

138789604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 138789604800 in words is "one hundred thirty-eight billion, seven hundred eighty-nine million, six hundred four thousand, eight hundred".