825430663760 has 40 divisors (see below), whose sum is σ = 1940689526760. Its totient is φ = 326462461952.

The previous prime is 825430663699. The next prime is 825430663777. The reversal of 825430663760 is 67366034528.

It can be written as a sum of positive squares in 4 ways, for example, as 13716157456 + 811714506304 = 117116^2 + 900952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 825430663699 and 825430663708.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57958517 + ... + 57972756.

It is an arithmetic number, because the mean of its divisors is an integer number (48517238169).

Almost surely, 2^825430663760 is an apocalyptic number.

825430663760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825430663760 is an abundant number, since it is smaller than the sum of its proper divisors (1115258863000).

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

825430663760 is a wasteful number, since it uses less digits than its factorization.

825430663760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115931375 (or 115931369 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 50.

The spelling of 825430663760 in words is "eight hundred twenty-five billion, four hundred thirty million, six hundred sixty-three thousand, seven hundred sixty".