80883048960 has 800 divisors, whose sum is σ = 334915206912. Its totient is φ = 18274222080.

The previous prime is 80883048929. The next prime is 80883048971. The reversal of 80883048960 is 6984038808.

80883048960 is a `hidden beast` number, since 80 + 8 + 83 + 0 + 489 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80883048897 and 80883048906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149506290 + ... + 149506830.

Almost surely, 2^80883048960 is an apocalyptic number.

80883048960 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 80883048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167457603456).

80883048960 is an abundant number, since it is smaller than the sum of its proper divisors (254032157952).

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

80883048960 is a wasteful number, since it uses less digits than its factorization.

80883048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 80883048960 in words is "eighty billion, eight hundred eighty-three million, forty-eight thousand, nine hundred sixty".