83939493120 has 432 divisors, whose sum is σ = 322624632960. Its totient is φ = 18523373568.

The previous prime is 83939493119. The next prime is 83939493167. The reversal of 83939493120 is 2139493938.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5448949 + ... + 5464331.

It is an arithmetic number, because the mean of its divisors is an integer number (746816280).

Almost surely, 2^83939493120 is an apocalyptic number.

83939493120 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 83939493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161312316480).

83939493120 is an abundant number, since it is smaller than the sum of its proper divisors (238685139840).

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

83939493120 is a wasteful number, since it uses less digits than its factorization.

83939493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15450 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 83939493120 in words is "eighty-three billion, nine hundred thirty-nine million, four hundred ninety-three thousand, one hundred twenty".