157177648320 has 896 divisors, whose sum is σ = 648999862272. Its totient is φ = 31275417600.

The previous prime is 157177648307. The next prime is 157177648343. The reversal of 157177648320 is 23846771751.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258941457 + ... + 258942063.

Almost surely, 2^157177648320 is an apocalyptic number.

157177648320 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 157177648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324499931136).

157177648320 is an abundant number, since it is smaller than the sum of its proper divisors (491822213952).

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

157177648320 is a wasteful number, since it uses less digits than its factorization.

157177648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 157177648320 in words is "one hundred fifty-seven billion, one hundred seventy-seven million, six hundred forty-eight thousand, three hundred twenty".