82515484090368 has 1008 divisors, whose sum is σ = 289857317428224. Its totient is φ = 23386704445440.

The previous prime is 82515484090363. The next prime is 82515484090381. The reversal of 82515484090368 is 86309048451528.

82515484090368 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 5 + 484 + 0 + 90 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×82515484090368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82515484090363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12387848958 + ... + 12387855618.

It is an arithmetic number, because the mean of its divisors is an integer number (287556862528).

Almost surely, 2^{82515484090368} 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 82515484090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144928658714112).

82515484090368 is an abundant number, since it is smaller than the sum of its proper divisors (207341833337856).

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

82515484090368 is an equidigital number, since it uses as much as digits as its factorization.

82515484090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 82515484090368 in words is "eighty-two trillion, five hundred fifteen billion, four hundred eighty-four million, ninety thousand, three hundred sixty-eight".