80226972560 has 320 divisors, whose sum is σ = 240978862080. Its totient is φ = 24176517120.

The previous prime is 80226972533. The next prime is 80226972583. The reversal of 80226972560 is 6527962208.

It is a super-2 number, since 2×80226972560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12839357 + ... + 12845603.

It is an arithmetic number, because the mean of its divisors is an integer number (753058944).

Almost surely, 2^80226972560 is an apocalyptic number.

80226972560 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 80226972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120489431040).

80226972560 is an abundant number, since it is smaller than the sum of its proper divisors (160751889520).

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

80226972560 is a wasteful number, since it uses less digits than its factorization.

80226972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 80226972560 in words is "eighty billion, two hundred twenty-six million, nine hundred seventy-two thousand, five hundred sixty".