80412896256 has 352 divisors, whose sum is σ = 282948982272. Its totient is φ = 19656867840.

The previous prime is 80412896231. The next prime is 80412896339. The reversal of 80412896256 is 65269821408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-4 number, since 4×80412896256⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 80412896199 and 80412896208.

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 31 ways as a sum of consecutive naturals, for example, 4011250 + ... + 4031246.

It is an arithmetic number, because the mean of its divisors is an integer number (803832336).

Almost surely, 2^80412896256 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 80412896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141474491136).

80412896256 is an abundant number, since it is smaller than the sum of its proper divisors (202536086016).

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

80412896256 is a wasteful number, since it uses less digits than its factorization.

80412896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 80412896256 in words is "eighty billion, four hundred twelve million, eight hundred ninety-six thousand, two hundred fifty-six".