83779279584240 has 320 divisors, whose sum is σ = 279292804116480. Its totient is φ = 20698629980160.

The previous prime is 83779279584163. The next prime is 83779279584293. The reversal of 83779279584240 is 4248597297738.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393258550 + ... + 393471530.

It is an arithmetic number, because the mean of its divisors is an integer number (872790012864).

Almost surely, 2^{83779279584240} is an apocalyptic number.

83779279584240 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 83779279584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139646402058240).

83779279584240 is an abundant number, since it is smaller than the sum of its proper divisors (195513524532240).

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

83779279584240 is a wasteful number, since it uses less digits than its factorization.

83779279584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214520 (or 214514 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 75.

The spelling of 83779279584240 in words is "eighty-three trillion, seven hundred seventy-nine billion, two hundred seventy-nine million, five hundred eighty-four thousand, two hundred forty".