80883339264 has 1248 divisors, whose sum is σ = 320573460480. Its totient is φ = 19779158016.

The previous prime is 80883339239. The next prime is 80883339307. The reversal of 80883339264 is 46293338808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×80883339264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80883339264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1720922089 + ... + 1720922135.

It is an arithmetic number, because the mean of its divisors is an integer number (256869760).

Almost surely, 2^80883339264 is an apocalyptic number.

80883339264 is a gapful number since it is divisible by the number (84) 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 80883339264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160286730240).

80883339264 is an abundant number, since it is smaller than the sum of its proper divisors (239690121216).

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

80883339264 is a wasteful number, since it uses less digits than its factorization.

80883339264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 80883339264 in words is "eighty billion, eight hundred eighty-three million, three hundred thirty-nine thousand, two hundred sixty-four".