80400522816 has 168 divisors, whose sum is σ = 243486838400. Its totient is φ = 25295016960.

The previous prime is 80400522799. The next prime is 80400522847. The reversal of 80400522816 is 61822500408.

80400522816 is a `hidden beast` number, since 80 + 40 + 0 + 522 + 8 + 16 = 666.

It is a super-2 number, since 2×80400522816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2952270 + ... + 2979378.

Almost surely, 2^80400522816 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 80400522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121743419200).

80400522816 is an abundant number, since it is smaller than the sum of its proper divisors (163086315584).

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

80400522816 is a wasteful number, since it uses less digits than its factorization.

80400522816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27417 (or 27404 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 80400522816 in words is "eighty billion, four hundred million, five hundred twenty-two thousand, eight hundred sixteen".