138668428800 has 1440 divisors, whose sum is σ = 590936490144. Its totient is φ = 30670848000.

The previous prime is 138668428771. The next prime is 138668428823. The reversal of 138668428800 is 8824866831.

138668428800 is a `hidden beast` number, since 1 + 3 + 86 + 68 + 428 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 883238322 + ... + 883238478.

Almost surely, 2^138668428800 is an apocalyptic number.

138668428800 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 138668428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295468245072).

138668428800 is an abundant number, since it is smaller than the sum of its proper divisors (452268061344).

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

138668428800 is a wasteful number, since it uses less digits than its factorization.

138668428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 138668428800 in words is "one hundred thirty-eight billion, six hundred sixty-eight million, four hundred twenty-eight thousand, eight hundred".