138868804760400 has 3360 divisors, whose sum is σ = 627769456433280. Its totient is φ = 29229498777600.

The previous prime is 138868804760359. The next prime is 138868804760443. The reversal of 138868804760400 is 4067408868831.

138868804760400 is a `hidden beast` number, since 1 + 3 + 8 + 86 + 8 + 80 + 4 + 76 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 85774430791 + ... + 85774432409.

It is an arithmetic number, because the mean of its divisors is an integer number (186836147748).

Almost surely, 2^{138868804760400} is an apocalyptic number.

138868804760400 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 138868804760400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313884728216640).

138868804760400 is an abundant number, since it is smaller than the sum of its proper divisors (488900651672880).

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

138868804760400 is a wasteful number, since it uses less digits than its factorization.

138868804760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 138868804760400 in words is "one hundred thirty-eight trillion, eight hundred sixty-eight billion, eight hundred four million, seven hundred sixty thousand, four hundred".