82502504448 has 416 divisors, whose sum is σ = 274116729600. Its totient is φ = 21488467968.

The previous prime is 82502504437. The next prime is 82502504477. The reversal of 82502504448 is 84440520528.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99520098 + ... + 99520926.

Almost surely, 2^82502504448 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 82502504448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137058364800).

82502504448 is an abundant number, since it is smaller than the sum of its proper divisors (191614225152).

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

82502504448 is a wasteful number, since it uses less digits than its factorization.

82502504448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 82502504448 in words is "eighty-two billion, five hundred two million, five hundred four thousand, four hundred forty-eight".