82695784647168 has 2880 divisors, whose sum is σ = 338896889210880. Its totient is φ = 19840072089600.

The previous prime is 82695784647131. The next prime is 82695784647181. The reversal of 82695784647168 is 86174648759628.

82695784647168 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 5 + 7 + 84 + 6 + 471 + 68 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

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

Its product of digits (7803371520) is a multiple of the sum of its prime factors (1701).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52239913705 + ... + 52239915287.

It is an arithmetic number, because the mean of its divisors is an integer number (117672530976).

Almost surely, 2^{82695784647168} is an apocalyptic number.

82695784647168 is a gapful number since it is divisible by the number (88) 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 82695784647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169448444605440).

82695784647168 is an abundant number, since it is smaller than the sum of its proper divisors (256201104563712).

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

82695784647168 is a wasteful number, since it uses less digits than its factorization.

82695784647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1666 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 82695784647168 in words is "eighty-two trillion, six hundred ninety-five billion, seven hundred eighty-four million, six hundred forty-seven thousand, one hundred sixty-eight".