161586015625440 has 576 divisors, whose sum is σ = 632201465331072. Its totient is φ = 36815870361600.

The previous prime is 161586015625409. The next prime is 161586015625487. The reversal of 161586015625440 is 44526510685161.

161586015625440 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 8 + 6 + 0 + 1 + 5 + 625 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×161586015625440² (a number of 29 digits) contains 22 as substring.

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, 12315062080 + ... + 12315075200.

It is an arithmetic number, because the mean of its divisors is an integer number (1097571988422).

Almost surely, 2^{161586015625440} is an apocalyptic number.

161586015625440 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 161586015625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316100732665536).

161586015625440 is an abundant number, since it is smaller than the sum of its proper divisors (470615449705632).

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

161586015625440 is a wasteful number, since it uses less digits than its factorization.

161586015625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16963 (or 16952 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 161586015625440 in words is "one hundred sixty-one trillion, five hundred eighty-six billion, fifteen million, six hundred twenty-five thousand, four hundred forty".