158979100800 has 384 divisors, whose sum is σ = 572363991360. Its totient is φ = 38547210240.

The previous prime is 158979100793. The next prime is 158979100801. The reversal of 158979100800 is 8001979851.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 158979100800.

It is not an unprimeable number, because it can be changed into a prime (158979100801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8352094 + ... + 8371106.

Almost surely, 2^158979100800 is an apocalyptic number.

158979100800 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 158979100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286181995680).

158979100800 is an abundant number, since it is smaller than the sum of its proper divisors (413384890560).

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

158979100800 is a wasteful number, since it uses less digits than its factorization.

158979100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19120 (or 19103 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 48.

The spelling of 158979100800 in words is "one hundred fifty-eight billion, nine hundred seventy-nine million, one hundred thousand, eight hundred".