82695481310700 has 576 divisors, whose sum is σ = 287088150182400. Its totient is φ = 20344135680000.

The previous prime is 82695481310671. The next prime is 82695481310777. The reversal of 82695481310700 is 701318459628.

82695481310700 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 548 + 13 + 10 + 70 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 939666700 + ... + 939754700.

It is an arithmetic number, because the mean of its divisors is an integer number (498416927400).

It is a 1-persistent number, because it is pandigital, but 2⋅82695481310700 = 165390962621400 is not.

Almost surely, 2^{82695481310700} 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 82695481310700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143544075091200).

82695481310700 is an abundant number, since it is smaller than the sum of its proper divisors (204392668871700).

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

82695481310700 is a wasteful number, since it uses less digits than its factorization.

82695481310700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88447 (or 88434 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 82695481310700 in words is "eighty-two trillion, six hundred ninety-five billion, four hundred eighty-one million, three hundred ten thousand, seven hundred".