83517891840 has 432 divisors, whose sum is σ = 302454301968. Its totient is φ = 21254897664.

The previous prime is 83517891799. The next prime is 83517891859. The reversal of 83517891840 is 4819871538.

83517891840 is a `hidden beast` number, since 8 + 3 + 517 + 89 + 1 + 8 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75481344 + 83442410496 = 8688^2 + 288864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22588872 + ... + 22592568.

It is an arithmetic number, because the mean of its divisors is an integer number (700125699).

Almost surely, 2^83517891840 is an apocalyptic number.

83517891840 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 83517891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151227150984).

83517891840 is an abundant number, since it is smaller than the sum of its proper divisors (218936410128).

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

83517891840 is a wasteful number, since it uses less digits than its factorization.

83517891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 83517891840 in words is "eighty-three billion, five hundred seventeen million, eight hundred ninety-one thousand, eight hundred forty".