158480908800 has 480 divisors, whose sum is σ = 559947053952. Its totient is φ = 39372718080.

The previous prime is 158480908757. The next prime is 158480908829. The reversal of 158480908800 is 8809084851.

It is a happy number.

158480908800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 47 ways as a sum of consecutive naturals, for example, 67237222 + ... + 67239578.

Almost surely, 2^158480908800 is an apocalyptic number.

158480908800 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 158480908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279973526976).

158480908800 is an abundant number, since it is smaller than the sum of its proper divisors (401466145152).

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

158480908800 is a wasteful number, since it uses less digits than its factorization.

158480908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 158480908800 in words is "one hundred fifty-eight billion, four hundred eighty million, nine hundred eight thousand, eight hundred".