161585860320 has 72 divisors (see below), whose sum is σ = 551411753256. Its totient is φ = 43089562368.

The previous prime is 161585860313. The next prime is 161585860333. The reversal of 161585860320 is 23068585161.

161585860320 is a `hidden beast` number, since 1 + 6 + 1 + 585 + 8 + 60 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×161585860320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56104762 + ... + 56107641.

It is an arithmetic number, because the mean of its divisors is an integer number (7658496573).

Almost surely, 2^161585860320 is an apocalyptic number.

161585860320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161585860320 is an abundant number, since it is smaller than the sum of its proper divisors (389825892936).

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

161585860320 is a wasteful number, since it uses less digits than its factorization.

161585860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112212424 (or 112212413 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 161585860320 in words is "one hundred sixty-one billion, five hundred eighty-five million, eight hundred sixty thousand, three hundred twenty".