161857856160 has 576 divisors, whose sum is σ = 741609872640. Its totient is φ = 31045386240.

The previous prime is 161857856159. The next prime is 161857856179. The reversal of 161857856160 is 61658758161.

It is a happy number.

161857856160 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 5 + 78 + 561 + 6 + 0 = 666.

It is a super-2 number, since 2×161857856160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161857856097 and 161857856106.

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, 1385296 + ... + 1497584.

It is an arithmetic number, because the mean of its divisors is an integer number (1287517140).

Almost surely, 2^161857856160 is an apocalyptic number.

161857856160 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 161857856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370804936320).

161857856160 is an abundant number, since it is smaller than the sum of its proper divisors (579752016480).

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

161857856160 is a wasteful number, since it uses less digits than its factorization.

161857856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112341 (or 112330 counting only the distinct ones).

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

The spelling of 161857856160 in words is "one hundred sixty-one billion, eight hundred fifty-seven million, eight hundred fifty-six thousand, one hundred sixty".