157661697980160 has 864 divisors, whose sum is σ = 621731506346496. Its totient is φ = 36513607680000.

The previous prime is 157661697980113. The next prime is 157661697980173. The reversal of 157661697980160 is 61089796166751.

It is a happy number.

It is a super-2 number, since 2×157661697980160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2363674810 + ... + 2363741510.

It is an arithmetic number, because the mean of its divisors is an integer number (719596650864).

Almost surely, 2^{157661697980160} is an apocalyptic number.

157661697980160 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 157661697980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310865753173248).

157661697980160 is an abundant number, since it is smaller than the sum of its proper divisors (464069808366336).

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

157661697980160 is a wasteful number, since it uses less digits than its factorization.

157661697980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67573 (or 67556 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 157661697980160 in words is "one hundred fifty-seven trillion, six hundred sixty-one billion, six hundred ninety-seven million, nine hundred eighty thousand, one hundred sixty".