83796258560 has 288 divisors, whose sum is σ = 243710208000. Its totient is φ = 26948468736.

The previous prime is 83796258527. The next prime is 83796258587. The reversal of 83796258560 is 6585269738.

It is a self number, because there is not a number n which added to its sum of digits gives 83796258560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55900691 + ... + 55902189.

It is an arithmetic number, because the mean of its divisors is an integer number (846216000).

Almost surely, 2^83796258560 is an apocalyptic number.

83796258560 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 83796258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121855104000).

83796258560 is an abundant number, since it is smaller than the sum of its proper divisors (159913949440).

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

83796258560 is a wasteful number, since it uses less digits than its factorization.

83796258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 59.

The spelling of 83796258560 in words is "eighty-three billion, seven hundred ninety-six million, two hundred fifty-eight thousand, five hundred sixty".