83579862912 has 384 divisors, whose sum is σ = 279106884000. Its totient is φ = 21965045760.

The previous prime is 83579862901. The next prime is 83579862923. The reversal of 83579862912 is 21926897538.

It is an interprime number because it is at equal distance from previous prime (83579862901) and next prime (83579862923).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 109828612 + ... + 109829372.

Almost surely, 2^83579862912 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 83579862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139553442000).

83579862912 is an abundant number, since it is smaller than the sum of its proper divisors (195527021088).

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

83579862912 is a wasteful number, since it uses less digits than its factorization.

83579862912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1235 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 83579862912 in words is "eighty-three billion, five hundred seventy-nine million, eight hundred sixty-two thousand, nine hundred twelve".