80117544960 has 768 divisors, whose sum is σ = 305124019200. Its totient is φ = 19892404224.

The previous prime is 80117544959. The next prime is 80117544973. The reversal of 80117544960 is 6944571108.

80117544960 is a `hidden beast` number, since 8 + 0 + 1 + 17 + 544 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273438574 + ... + 273438866.

It is an arithmetic number, because the mean of its divisors is an integer number (397296900).

Almost surely, 2^80117544960 is an apocalyptic number.

80117544960 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 80117544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152562009600).

80117544960 is an abundant number, since it is smaller than the sum of its proper divisors (225006474240).

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

80117544960 is a wasteful number, since it uses less digits than its factorization.

80117544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 80117544960 in words is "eighty billion, one hundred seventeen million, five hundred forty-four thousand, nine hundred sixty".