161709333120 has 320 divisors, whose sum is σ = 580982371200. Its totient is φ = 42861975552.

The previous prime is 161709333103. The next prime is 161709333139. The reversal of 161709333120 is 21333907161.

161709333120 is a `hidden beast` number, since 1 + 617 + 0 + 9 + 3 + 3 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×161709333120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8647941 + ... + 8666619.

It is an arithmetic number, because the mean of its divisors is an integer number (1815569910).

Almost surely, 2^161709333120 is an apocalyptic number.

161709333120 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 161709333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290491185600).

161709333120 is an abundant number, since it is smaller than the sum of its proper divisors (419273038080).

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

161709333120 is a wasteful number, since it uses less digits than its factorization.

161709333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18877 (or 18856 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 161709333120 in words is "one hundred sixty-one billion, seven hundred nine million, three hundred thirty-three thousand, one hundred twenty".