80600292864 has 960 divisors, whose sum is σ = 305251087680. Its totient is φ = 21069103104.

The previous prime is 80600292827. The next prime is 80600292937. The reversal of 80600292864 is 46829200608.

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, 713276872 + ... + 713276984.

It is an arithmetic number, because the mean of its divisors is an integer number (317969883).

Almost surely, 2^80600292864 is an apocalyptic number.

80600292864 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 80600292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152625543840).

80600292864 is an abundant number, since it is smaller than the sum of its proper divisors (224650794816).

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

80600292864 is an equidigital number, since it uses as much as digits as its factorization.

80600292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 80600292864 in words is "eighty billion, six hundred million, two hundred ninety-two thousand, eight hundred sixty-four".