83232740160 has 224 divisors, whose sum is σ = 300456478080. Its totient is φ = 21679128576.

The previous prime is 83232740159. The next prime is 83232740167. The reversal of 83232740160 is 6104723238.

It is a happy number.

83232740160 is a `hidden beast` number, since 8 + 323 + 274 + 0 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83232740167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259504 + ... + 483536.

Almost surely, 2^83232740160 is an apocalyptic number.

83232740160 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 83232740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150228239040).

83232740160 is an abundant number, since it is smaller than the sum of its proper divisors (217223737920).

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

83232740160 is a wasteful number, since it uses less digits than its factorization.

83232740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224102 (or 224086 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 83232740160 in words is "eighty-three billion, two hundred thirty-two million, seven hundred forty thousand, one hundred sixty".