83904088320 has 432 divisors, whose sum is σ = 326236135680. Its totient is φ = 19754532864.

The previous prime is 83904088273. The next prime is 83904088327. The reversal of 83904088320 is 2388040938.

83904088320 is a `hidden beast` number, since 83 + 90 + 408 + 83 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83904088327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3432301 + ... + 3456659.

It is an arithmetic number, because the mean of its divisors is an integer number (755176240).

Almost surely, 2^83904088320 is an apocalyptic number.

83904088320 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 83904088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163118067840).

83904088320 is an abundant number, since it is smaller than the sum of its proper divisors (242332047360).

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

83904088320 is a wasteful number, since it uses less digits than its factorization.

83904088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24422 (or 24405 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83904088320 in words is "eighty-three billion, nine hundred four million, eighty-eight thousand, three hundred twenty".