83916822528 has 384 divisors, whose sum is σ = 309935808000. Its totient is φ = 21795471360.

The previous prime is 83916822527. The next prime is 83916822541. The reversal of 83916822528 is 82522861938.

It is a happy number.

83916822528 is a `hidden beast` number, since 8 + 3 + 91 + 6 + 8 + 22 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83916822527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4247938 + ... + 4267646.

It is an arithmetic number, because the mean of its divisors is an integer number (807124500).

Almost surely, 2^83916822528 is an apocalyptic number.

83916822528 is a gapful number since it is divisible by the number (88) 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 83916822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904000).

83916822528 is an abundant number, since it is smaller than the sum of its proper divisors (226018985472).

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

83916822528 is a wasteful number, since it uses less digits than its factorization.

83916822528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758 (or 19732 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 83916822528 in words is "eighty-three billion, nine hundred sixteen million, eight hundred twenty-two thousand, five hundred twenty-eight".