82569149417120 has 48 divisors (see below), whose sum is σ = 195371114375808. Its totient is φ = 32976612337920.

The previous prime is 82569149417113. The next prime is 82569149417219. The reversal of 82569149417120 is 2171494196528.

It is a happy number.

82569149417120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 82569149417120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398704196 + ... + 398911235.

It is an arithmetic number, because the mean of its divisors is an integer number (4070231549496).

Almost surely, 2^{82569149417120} is an apocalyptic number.

82569149417120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82569149417120 is an abundant number, since it is smaller than the sum of its proper divisors (112801964958688).

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

82569149417120 is a wasteful number, since it uses less digits than its factorization.

82569149417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797616093 (or 797616085 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 82569149417120 in words is "eighty-two trillion, five hundred sixty-nine billion, one hundred forty-nine million, four hundred seventeen thousand, one hundred twenty".