80252674560 has 960 divisors, whose sum is σ = 308860231680. Its totient is φ = 19926466560.

The previous prime is 80252674553. The next prime is 80252674573. The reversal of 80252674560 is 6547625208.

80252674560 is a `hidden beast` number, since 8 + 0 + 2 + 526 + 74 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1015856601 + ... + 1015856679.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^80252674560 is an apocalyptic number.

80252674560 is a gapful number since it is divisible by the number (80) 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 80252674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

80252674560 is an abundant number, since it is smaller than the sum of its proper divisors (228607557120).

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

80252674560 is an equidigital number, since it uses as much as digits as its factorization.

80252674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 80252674560 in words is "eighty billion, two hundred fifty-two million, six hundred seventy-four thousand, five hundred sixty".