83919281920 has 144 divisors (see below), whose sum is σ = 203754096000. Its totient is φ = 33111834624.

The previous prime is 83919281891. The next prime is 83919281951. The reversal of 83919281920 is 2918291938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80768761 + ... + 80769799.

It is an arithmetic number, because the mean of its divisors is an integer number (1414959000).

Almost surely, 2^83919281920 is an apocalyptic number.

83919281920 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 83919281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101877048000).

83919281920 is an abundant number, since it is smaller than the sum of its proper divisors (119834814080).

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

83919281920 is a wasteful number, since it uses less digits than its factorization.

83919281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The spelling of 83919281920 in words is "eighty-three billion, nine hundred nineteen million, two hundred eighty-one thousand, nine hundred twenty".