80801900256 has 384 divisors, whose sum is σ = 269634355200. Its totient is φ = 20579420160.

The previous prime is 80801900251. The next prime is 80801900261. The reversal of 80801900256 is 65200910808.

It is an interprime number because it is at equal distance from previous prime (80801900251) and next prime (80801900261).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80801900251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104529886 + ... + 104530658.

It is an arithmetic number, because the mean of its divisors is an integer number (702172800).

Almost surely, 2^80801900256 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 80801900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134817177600).

80801900256 is an abundant number, since it is smaller than the sum of its proper divisors (188832454944).

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

80801900256 is a wasteful number, since it uses less digits than its factorization.

80801900256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 80801900256 in words is "eighty billion, eight hundred one million, nine hundred thousand, two hundred fifty-six".