158721638400 has 1140 divisors, whose sum is σ = 660777780432. Its totient is φ = 37371248640.

The previous prime is 158721638353. The next prime is 158721638441. The reversal of 158721638400 is 4836127851.

158721638400 is a `hidden beast` number, since 1 + 5 + 8 + 7 + 2 + 1 + 638 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×158721638400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6900940789 + ... + 6900940811.

Almost surely, 2^158721638400 is an apocalyptic number.

158721638400 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 158721638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330388890216).

158721638400 is an abundant number, since it is smaller than the sum of its proper divisors (502056142032).

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

158721638400 is an frugal number, since it uses more digits than its factorization.

158721638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 158721638400 in words is "one hundred fifty-eight billion, seven hundred twenty-one million, six hundred thirty-eight thousand, four hundred".