157987170320 has 320 divisors, whose sum is σ = 457746702336. Its totient is φ = 49475543040.

The previous prime is 157987170293. The next prime is 157987170331. The reversal of 157987170320 is 23071789751.

157987170320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 68361965 + ... + 68364275.

Almost surely, 2^157987170320 is an apocalyptic number.

157987170320 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 157987170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228873351168).

157987170320 is an abundant number, since it is smaller than the sum of its proper divisors (299759532016).

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

157987170320 is a wasteful number, since it uses less digits than its factorization.

157987170320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 50.

The spelling of 157987170320 in words is "one hundred fifty-seven billion, nine hundred eighty-seven million, one hundred seventy thousand, three hundred twenty".