82294555068 has 384 divisors, whose sum is σ = 253357977600. Its totient is φ = 22828780800.

The previous prime is 82294555067. The next prime is 82294555081. The reversal of 82294555068 is 86055549228.

82294555068 is a `hidden beast` number, since 8 + 2 + 29 + 4 + 5 + 550 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82294555067) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176219371 + ... + 176219837.

It is an arithmetic number, because the mean of its divisors is an integer number (659786400).

Almost surely, 2^82294555068 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 82294555068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126678988800).

82294555068 is an abundant number, since it is smaller than the sum of its proper divisors (171063422532).

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

82294555068 is a wasteful number, since it uses less digits than its factorization.

82294555068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 82294555068 in words is "eighty-two billion, two hundred ninety-four million, five hundred fifty-five thousand, sixty-eight".