80265956400 has 960 divisors, whose sum is σ = 348949094400. Its totient is φ = 17127936000.

The previous prime is 80265956359. The next prime is 80265956417. The reversal of 80265956400 is 465956208.

80265956400 is a `hidden beast` number, since 80 + 2 + 6 + 5 + 9 + 564 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 67963810 + ... + 67964990.

It is an arithmetic number, because the mean of its divisors is an integer number (363488640).

Almost surely, 2^80265956400 is an apocalyptic number.

80265956400 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 80265956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174474547200).

80265956400 is an abundant number, since it is smaller than the sum of its proper divisors (268683138000).

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

80265956400 is a wasteful number, since it uses less digits than its factorization.

80265956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 80265956400 in words is "eighty billion, two hundred sixty-five million, nine hundred fifty-six thousand, four hundred".