83035874320 has 120 divisors (see below), whose sum is σ = 224860404888. Its totient is φ = 28433664000.

The previous prime is 83035874279. The next prime is 83035874323. The reversal of 83035874320 is 2347853038.

It can be written as a sum of positive squares in 4 ways, for example, as 3739567104 + 79296307216 = 61152^2 + 281596^2 .

It is not an unprimeable number, because it can be changed into a prime (83035874323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205420 + ... + 3231220.

Almost surely, 2^83035874320 is an apocalyptic number.

83035874320 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 83035874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112430202444).

83035874320 is an abundant number, since it is smaller than the sum of its proper divisors (141824530568).

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

83035874320 is a wasteful number, since it uses less digits than its factorization.

83035874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26649 (or 26636 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 83035874320 in words is "eighty-three billion, thirty-five million, eight hundred seventy-four thousand, three hundred twenty".