80893572480 has 1792 divisors, whose sum is σ = 369883791360. Its totient is φ = 16482631680.

The previous prime is 80893572467. The next prime is 80893572491. The reversal of 80893572480 is 8427539808.

It is a happy number.

80893572480 is a `hidden beast` number, since 8 + 0 + 8 + 93 + 5 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 1721139817 + ... + 1721139863.

Almost surely, 2^80893572480 is an apocalyptic number.

80893572480 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 80893572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184941895680).

80893572480 is an abundant number, since it is smaller than the sum of its proper divisors (288990218880).

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

80893572480 is a wasteful number, since it uses less digits than its factorization.

80893572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 80893572480 in words is "eighty billion, eight hundred ninety-three million, five hundred seventy-two thousand, four hundred eighty".