157123012680 has 384 divisors, whose sum is σ = 565526707200. Its totient is φ = 39147494400.

The previous prime is 157123012619. The next prime is 157123012687. The reversal of 157123012680 is 86210321751.

157123012680 is a `hidden beast` number, since 1 + 571 + 2 + 3 + 0 + 1 + 2 + 6 + 80 = 666.

It is a super-2 number, since 2×157123012680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157123012687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8729290 + ... + 8747270.

It is an arithmetic number, because the mean of its divisors is an integer number (1472725800).

Almost surely, 2^157123012680 is an apocalyptic number.

157123012680 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 157123012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282763353600).

157123012680 is an abundant number, since it is smaller than the sum of its proper divisors (408403694520).

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

157123012680 is a wasteful number, since it uses less digits than its factorization.

157123012680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18067 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 157123012680 in words is "one hundred fifty-seven billion, one hundred twenty-three million, twelve thousand, six hundred eighty".