83979141120 has 760 divisors, whose sum is σ = 347136714144. Its totient is φ = 19025362944.

The previous prime is 83979141061. The next prime is 83979141151. The reversal of 83979141120 is 2114197938.

It is a super-2 number, since 2×83979141120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743178184 + ... + 743178296.

Almost surely, 2^83979141120 is an apocalyptic number.

83979141120 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 83979141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173568357072).

83979141120 is an abundant number, since it is smaller than the sum of its proper divisors (263157573024).

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

83979141120 is an frugal number, since it uses more digits than its factorization.

83979141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 83979141120 in words is "eighty-three billion, nine hundred seventy-nine million, one hundred forty-one thousand, one hundred twenty".