83979834120 has 384 divisors, whose sum is σ = 340941968640. Its totient is φ = 17453905920.

The previous prime is 83979834119. The next prime is 83979834163. The reversal of 83979834120 is 2143897938.

83979834120 is a `hidden beast` number, since 83 + 9 + 79 + 83 + 412 + 0 = 666.

It is a super-2 number, since 2×83979834120² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2175790 + ... + 2214050.

It is an arithmetic number, because the mean of its divisors is an integer number (887869710).

Almost surely, 2^83979834120 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 83979834120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170470984320).

83979834120 is an abundant number, since it is smaller than the sum of its proper divisors (256962134520).

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

83979834120 is a wasteful number, since it uses less digits than its factorization.

83979834120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38365 (or 38358 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 83979834120 in words is "eighty-three billion, nine hundred seventy-nine million, eight hundred thirty-four thousand, one hundred twenty".