161626585112960 has 768 divisors, whose sum is σ = 433209047040000. Its totient is φ = 57613546045440.

The previous prime is 161626585112953. The next prime is 161626585112983. The reversal of 161626585112960 is 69211585626161.

It is a super-2 number, since 2×161626585112960² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161626585112960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526470961127 + ... + 526470961433.

It is an arithmetic number, because the mean of its divisors is an integer number (564074280000).

Almost surely, 2^{161626585112960} is an apocalyptic number.

161626585112960 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 161626585112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216604523520000).

161626585112960 is an abundant number, since it is smaller than the sum of its proper divisors (271582461927040).

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

161626585112960 is a wasteful number, since it uses less digits than its factorization.

161626585112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 59.

The spelling of 161626585112960 in words is "one hundred sixty-one trillion, six hundred twenty-six billion, five hundred eighty-five million, one hundred twelve thousand, nine hundred sixty".