157717874880 has 672 divisors, whose sum is σ = 571555595520. Its totient is φ = 39886479360.

The previous prime is 157717874869. The next prime is 157717874887. The reversal of 157717874880 is 88478717751.

157717874880 is a `hidden beast` number, since 1 + 5 + 7 + 71 + 7 + 87 + 488 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (157717874887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747477975 + ... + 747478185.

It is an arithmetic number, because the mean of its divisors is an integer number (850529160).

Almost surely, 2^157717874880 is an apocalyptic number.

157717874880 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 157717874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285777797760).

157717874880 is an abundant number, since it is smaller than the sum of its proper divisors (413837720640).

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

157717874880 is a wasteful number, since it uses less digits than its factorization.

157717874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 24586240, while the sum is 63.

The spelling of 157717874880 in words is "one hundred fifty-seven billion, seven hundred seventeen million, eight hundred seventy-four thousand, eight hundred eighty".