82561373985888 has 720 divisors, whose sum is σ = 285358904861184. Its totient is φ = 23347199877120.

The previous prime is 82561373985869. The next prime is 82561373985901. The reversal of 82561373985888 is 88858937316528.

82561373985888 is a `hidden beast` number, since 8 + 25 + 6 + 1 + 3 + 7 + 3 + 9 + 8 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6984291018 + ... + 6984302838.

Almost surely, 2^{82561373985888} 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 82561373985888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142679452430592).

82561373985888 is an abundant number, since it is smaller than the sum of its proper divisors (202797530875296).

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

82561373985888 is a wasteful number, since it uses less digits than its factorization.

82561373985888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12417 (or 12393 counting only the distinct ones).

The product of its digits is 5573836800, while the sum is 81.

The spelling of 82561373985888 in words is "eighty-two trillion, five hundred sixty-one billion, three hundred seventy-three million, nine hundred eighty-five thousand, eight hundred eighty-eight".