80583408515664 has 120 divisors (see below), whose sum is σ = 226819564118784. Its totient is φ = 26706610656000.

The previous prime is 80583408515663. The next prime is 80583408515747. The reversal of 80583408515664 is 46651580438508.

80583408515664 is a `hidden beast` number, since 8 + 0 + 5 + 8 + 340 + 85 + 156 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80583408515663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114094969 + ... + 114799079.

Almost surely, 2^{80583408515664} 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 80583408515664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113409782059392).

80583408515664 is an abundant number, since it is smaller than the sum of its proper divisors (146236155603120).

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

80583408515664 is a wasteful number, since it uses less digits than its factorization.

80583408515664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708697 (or 708688 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 80583408515664 in words is "eighty trillion, five hundred eighty-three billion, four hundred eight million, five hundred fifteen thousand, six hundred sixty-four".