825207968546592 has 48 divisors (see below), whose sum is σ = 2166174893856960. Its totient is φ = 275068817906432.

The previous prime is 825207968546587. The next prime is 825207968546597. The reversal of 825207968546592 is 295645869702528.

It is an interprime number because it is at equal distance from previous prime (825207968546587) and next prime (825207968546597).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (825207968546597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46631134 + ... + 61845602.

It is an arithmetic number, because the mean of its divisors is an integer number (45128643622020).

Almost surely, 2^{825207968546592} is an apocalyptic number.

It is an amenable number.

825207968546592 is an abundant number, since it is smaller than the sum of its proper divisors (1340966925310368).

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

825207968546592 is a wasteful number, since it uses less digits than its factorization.

825207968546592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779465 (or 15779457 counting only the distinct ones).

The product of its (nonzero) digits is 5225472000, while the sum is 78.

The spelling of 825207968546592 in words is "eight hundred twenty-five trillion, two hundred seven billion, nine hundred sixty-eight million, five hundred forty-six thousand, five hundred ninety-two".