83822879160 has 384 divisors, whose sum is σ = 290003313600. Its totient is φ = 21767823360.

The previous prime is 83822879159. The next prime is 83822879213. The reversal of 83822879160 is 6197822838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83822879097 and 83822879106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64627632 + ... + 64628928.

Almost surely, 2^83822879160 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 83822879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145001656800).

83822879160 is an abundant number, since it is smaller than the sum of its proper divisors (206180434440).

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

83822879160 is a wasteful number, since it uses less digits than its factorization.

83822879160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 83822879160 in words is "eighty-three billion, eight hundred twenty-two million, eight hundred seventy-nine thousand, one hundred sixty".