32161072559616 has 4320 divisors, whose sum is σ = 138753743192064. Its totient is φ = 7081559654400.

The previous prime is 32161072559599. The next prime is 32161072559669. The reversal of 32161072559616 is 61695527016123.

32161072559616 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 1 + 0 + 72 + 559 + 6 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 253236791745 + ... + 253236791871.

Almost surely, 2^{32161072559616} is an apocalyptic number.

32161072559616 is a gapful number since it is divisible by the number (36) 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 32161072559616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69376871596032).

32161072559616 is an abundant number, since it is smaller than the sum of its proper divisors (106592670632448).

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

32161072559616 is a wasteful number, since it uses less digits than its factorization.

32161072559616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 32161072559616 in words is "thirty-two trillion, one hundred sixty-one billion, seventy-two million, five hundred fifty-nine thousand, six hundred sixteen".