157020116160 has 224 divisors, whose sum is σ = 525939471360. Its totient is φ = 39580434432.

The previous prime is 157020116131. The next prime is 157020116161. The reversal of 157020116160 is 61611020751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (157020116161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8435824 + ... + 8454416.

Almost surely, 2^157020116160 is an apocalyptic number.

157020116160 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 157020116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262969735680).

157020116160 is an abundant number, since it is smaller than the sum of its proper divisors (368919355200).

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

157020116160 is a wasteful number, since it uses less digits than its factorization.

157020116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19095 (or 19085 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 157020116160 in words is "one hundred fifty-seven billion, twenty million, one hundred sixteen thousand, one hundred sixty".