83382276096 has 780 divisors, whose sum is σ = 303708125952. Its totient is φ = 22685515776.

The previous prime is 83382276077. The next prime is 83382276113. The reversal of 83382276096 is 69067228338.

It is a happy number.

83382276096 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 2 + 27 + 609 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 373911441 + ... + 373911663.

Almost surely, 2^83382276096 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 83382276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151854062976).

83382276096 is an abundant number, since it is smaller than the sum of its proper divisors (220325849856).

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

83382276096 is a wasteful number, since it uses less digits than its factorization.

83382276096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 83382276096 in words is "eighty-three billion, three hundred eighty-two million, two hundred seventy-six thousand, ninety-six".