83949782160 has 160 divisors (see below), whose sum is σ = 275691461760. Its totient is φ = 21059149824.

The previous prime is 83949782099. The next prime is 83949782171. The reversal of 83949782160 is 6128794938.

It is a super-2 number, since 2×83949782160² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83949782160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10942806 + ... + 10950474.

It is an arithmetic number, because the mean of its divisors is an integer number (1723071636).

Almost surely, 2^83949782160 is an apocalyptic number.

83949782160 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 83949782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137845730880).

83949782160 is an abundant number, since it is smaller than the sum of its proper divisors (191741679600).

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

83949782160 is a wasteful number, since it uses less digits than its factorization.

83949782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 83949782160 in words is "eighty-three billion, nine hundred forty-nine million, seven hundred eighty-two thousand, one hundred sixty".