82511944704 has 528 divisors, whose sum is σ = 285358481408. Its totient is φ = 23326507008.

The previous prime is 82511944703. The next prime is 82511944751. The reversal of 82511944704 is 40744911528.

82511944704 is a `hidden beast` number, since 8 + 2 + 511 + 94 + 47 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82511944704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82511944703) 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 47 ways as a sum of consecutive naturals, for example, 221211462 + ... + 221211834.

Almost surely, 2^82511944704 is an apocalyptic number.

82511944704 is a gapful number since it is divisible by the number (84) 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 82511944704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142679240704).

82511944704 is an abundant number, since it is smaller than the sum of its proper divisors (202846536704).

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

82511944704 is a wasteful number, since it uses less digits than its factorization.

82511944704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 82511944704 in words is "eighty-two billion, five hundred eleven million, nine hundred forty-four thousand, seven hundred four".