82575825760 has 48 divisors (see below), whose sum is σ = 196811850816. Its totient is φ = 32738019328.

The previous prime is 82575825757. The next prime is 82575825769. The reversal of 82575825760 is 6752857528.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82575825769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265544 + ... + 2301703.

It is an arithmetic number, because the mean of its divisors is an integer number (4100246892).

Almost surely, 2^82575825760 is an apocalyptic number.

82575825760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82575825760 is an abundant number, since it is smaller than the sum of its proper divisors (114236025056).

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

82575825760 is a wasteful number, since it uses less digits than its factorization.

82575825760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567375 (or 4567367 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 55.

The spelling of 82575825760 in words is "eighty-two billion, five hundred seventy-five million, eight hundred twenty-five thousand, seven hundred sixty".