82965544704 has 720 divisors, whose sum is σ = 302724576000. Its totient is φ = 22072393728.

The previous prime is 82965544693. The next prime is 82965544721. The reversal of 82965544704 is 40744556928.

82965544704 is a `hidden beast` number, since 8 + 2 + 96 + 5 + 544 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 184778272 + ... + 184778720.

It is an arithmetic number, because the mean of its divisors is an integer number (420450800).

Almost surely, 2^82965544704 is an apocalyptic number.

82965544704 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 82965544704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151362288000).

82965544704 is an abundant number, since it is smaller than the sum of its proper divisors (219759031296).

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

82965544704 is a wasteful number, since it uses less digits than its factorization.

82965544704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 82965544704 in words is "eighty-two billion, nine hundred sixty-five million, five hundred forty-four thousand, seven hundred four".