158957061120 has 2112 divisors, whose sum is σ = 724492581120. Its totient is φ = 32699842560.

The previous prime is 158957061089. The next prime is 158957061161. The reversal of 158957061120 is 21160759851.

158957061120 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 5 + 7 + 0 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3696675819 + ... + 3696675861.

It is an arithmetic number, because the mean of its divisors is an integer number (343036260).

Almost surely, 2^158957061120 is an apocalyptic number.

158957061120 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 158957061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362246290560).

158957061120 is an abundant number, since it is smaller than the sum of its proper divisors (565535520000).

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

158957061120 is a wasteful number, since it uses less digits than its factorization.

158957061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 158957061120 in words is "one hundred fifty-eight billion, nine hundred fifty-seven million, sixty-one thousand, one hundred twenty".