83580726096 has 600 divisors, whose sum is σ = 302032320480. Its totient is φ = 22179515904.

The previous prime is 83580725983. The next prime is 83580726121. The reversal of 83580726096 is 69062708538.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63947875 + ... + 63949181.

Almost surely, 2^83580726096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83580726096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151016160240).

83580726096 is an abundant number, since it is smaller than the sum of its proper divisors (218451594384).

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

83580726096 is a wasteful number, since it uses less digits than its factorization.

83580726096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 83580726096 in words is "eighty-three billion, five hundred eighty million, seven hundred twenty-six thousand, ninety-six".