83940653160 has 640 divisors, whose sum is σ = 367689611520. Its totient is φ = 16667762688.

The previous prime is 83940653081. The next prime is 83940653171. The reversal of 83940653160 is 6135604938.

83940653160 is a `hidden beast` number, since 8 + 39 + 406 + 53 + 160 = 666.

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 159 ways as a sum of consecutive naturals, for example, 5003907 + ... + 5020653.

It is an arithmetic number, because the mean of its divisors is an integer number (574515018).

Almost surely, 2^83940653160 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 83940653160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183844805760).

83940653160 is an abundant number, since it is smaller than the sum of its proper divisors (283748958360).

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

83940653160 is a wasteful number, since it uses less digits than its factorization.

83940653160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16807 (or 16794 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 83940653160 in words is "eighty-three billion, nine hundred forty million, six hundred fifty-three thousand, one hundred sixty".