83424458880 has 768 divisors, whose sum is σ = 338818671360. Its totient is φ = 18521948160.

The previous prime is 83424458879. The next prime is 83424458917. The reversal of 83424458880 is 8885442438.

83424458880 is a `hidden beast` number, since 8 + 3 + 42 + 445 + 88 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263168482 + ... + 263168798.

It is an arithmetic number, because the mean of its divisors is an integer number (441170145).

Almost surely, 2^83424458880 is an apocalyptic number.

83424458880 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 83424458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169409335680).

83424458880 is an abundant number, since it is smaller than the sum of its proper divisors (255394212480).

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

83424458880 is a wasteful number, since it uses less digits than its factorization.

83424458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 83424458880 in words is "eighty-three billion, four hundred twenty-four million, four hundred fifty-eight thousand, eight hundred eighty".