158612428800 has 1152 divisors, whose sum is σ = 685381132800. Its totient is φ = 35194798080.

The previous prime is 158612428789. The next prime is 158612428817. The reversal of 158612428800 is 8824216851.

158612428800 is a `hidden beast` number, since 1 + 5 + 8 + 612 + 4 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 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, 358041379 + ... + 358041821.

It is an arithmetic number, because the mean of its divisors is an integer number (594948900).

Almost surely, 2^158612428800 is an apocalyptic number.

158612428800 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 158612428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342690566400).

158612428800 is an abundant number, since it is smaller than the sum of its proper divisors (526768704000).

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

158612428800 is a wasteful number, since it uses less digits than its factorization.

158612428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 158612428800 in words is "one hundred fifty-eight billion, six hundred twelve million, four hundred twenty-eight thousand, eight hundred".