83962884096 has 832 divisors, whose sum is σ = 312940759040. Its totient is φ = 21929066496.

The previous prime is 83962884091. The next prime is 83962884113. The reversal of 83962884096 is 69048826938.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83962884091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815173581 + ... + 815173683.

It is an arithmetic number, because the mean of its divisors is an integer number (376130720).

Almost surely, 2^83962884096 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 83962884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156470379520).

83962884096 is an abundant number, since it is smaller than the sum of its proper divisors (228977874944).

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

83962884096 is an equidigital number, since it uses as much as digits as its factorization.

83962884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 83962884096 in words is "eighty-three billion, nine hundred sixty-two million, eight hundred eighty-four thousand, ninety-six".