157708617842160 has 4800 divisors, whose sum is σ = 772414562304000. Its totient is φ = 29043427184640.

The previous prime is 157708617842143. The next prime is 157708617842161. The reversal of 157708617842160 is 61248716807751.

157708617842160 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 0 + 8 + 617 + 8 + 4 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157708617842161) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 112729533141 + ... + 112729534539.

It is an arithmetic number, because the mean of its divisors is an integer number (160919700480).

Almost surely, 2^{157708617842160} is an apocalyptic number.

157708617842160 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 157708617842160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386207281152000).

157708617842160 is an abundant number, since it is smaller than the sum of its proper divisors (614705944461840).

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

157708617842160 is a wasteful number, since it uses less digits than its factorization.

157708617842160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 157708617842160 in words is "one hundred fifty-seven trillion, seven hundred eight billion, six hundred seventeen million, eight hundred forty-two thousand, one hundred sixty".