161255086080 has 768 divisors, whose sum is σ = 587264670720. Its totient is φ = 37434163200.

The previous prime is 161255086037. The next prime is 161255086147. The reversal of 161255086080 is 80680552161.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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, 1427036104 + ... + 1427036216.

It is an arithmetic number, because the mean of its divisors is an integer number (764667540).

Almost surely, 2^161255086080 is an apocalyptic number.

161255086080 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 161255086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293632335360).

161255086080 is an abundant number, since it is smaller than the sum of its proper divisors (426009584640).

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

161255086080 is a wasteful number, since it uses less digits than its factorization.

161255086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 161255086080 in words is "one hundred sixty-one billion, two hundred fifty-five million, eighty-six thousand, eighty".