157160878560 has 1920 divisors, whose sum is σ = 708155965440. Its totient is φ = 32049561600.

The previous prime is 157160878549. The next prime is 157160878573. The reversal of 157160878560 is 65878061751.

157160878560 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 6 + 0 + 8 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 157160878497 and 157160878506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3343848457 + ... + 3343848503.

It is an arithmetic number, because the mean of its divisors is an integer number (368831232).

Almost surely, 2^157160878560 is an apocalyptic number.

157160878560 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 157160878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354077982720).

157160878560 is an abundant number, since it is smaller than the sum of its proper divisors (550995086880).

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

157160878560 is a wasteful number, since it uses less digits than its factorization.

157160878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 157160878560 in words is "one hundred fifty-seven billion, one hundred sixty million, eight hundred seventy-eight thousand, five hundred sixty".