161759820288 has 640 divisors, whose sum is σ = 515898408960. Its totient is φ = 44513280000.

The previous prime is 161759820199. The next prime is 161759820323. The reversal of 161759820288 is 882028957161.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071257013 + ... + 1071257163.

It is an arithmetic number, because the mean of its divisors is an integer number (806091264).

Almost surely, 2^161759820288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161759820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257949204480).

161759820288 is an abundant number, since it is smaller than the sum of its proper divisors (354138588672).

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

161759820288 is a wasteful number, since it uses less digits than its factorization.

161759820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 161759820288 in words is "one hundred sixty-one billion, seven hundred fifty-nine million, eight hundred twenty thousand, two hundred eighty-eight".