161857618560 has 384 divisors, whose sum is σ = 611962153920. Its totient is φ = 39094272000.

The previous prime is 161857618541. The next prime is 161857618607. The reversal of 161857618560 is 65816758161.

It is a happy number.

161857618560 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 5 + 76 + 1 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 161857618497 and 161857618506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17799615 + ... + 17808705.

Almost surely, 2^161857618560 is an apocalyptic number.

161857618560 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 161857618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305981076960).

161857618560 is an abundant number, since it is smaller than the sum of its proper divisors (450104535360).

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

161857618560 is a wasteful number, since it uses less digits than its factorization.

161857618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 161857618560 in words is "one hundred sixty-one billion, eight hundred fifty-seven million, six hundred eighteen thousand, five hundred sixty".