157984028160 has 720 divisors, whose sum is σ = 605399729616. Its totient is φ = 35031220224.

The previous prime is 157984028113. The next prime is 157984028203. The reversal of 157984028160 is 61820489751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1775101396 + ... + 1775101484.

Almost surely, 2^157984028160 is an apocalyptic number.

157984028160 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 157984028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302699864808).

157984028160 is an abundant number, since it is smaller than the sum of its proper divisors (447415701456).

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

157984028160 is an frugal number, since it uses more digits than its factorization.

157984028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 157984028160 in words is "one hundred fifty-seven billion, nine hundred eighty-four million, twenty-eight thousand, one hundred sixty".