82386553968 has 120 divisors (see below), whose sum is σ = 233430392832. Its totient is φ = 27122684544.

The previous prime is 82386553939. The next prime is 82386553969. The reversal of 82386553968 is 86935568328.

82386553968 is a `hidden beast` number, since 8 + 2 + 38 + 6 + 5 + 539 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82386553969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5673405 + ... + 5687907.

Almost surely, 2^82386553968 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 82386553968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116715196416).

82386553968 is an abundant number, since it is smaller than the sum of its proper divisors (151043838864).

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

82386553968 is a wasteful number, since it uses less digits than its factorization.

82386553968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15003 (or 14994 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 82386553968 in words is "eighty-two billion, three hundred eighty-six million, five hundred fifty-three thousand, nine hundred sixty-eight".