825797748096 has 96 divisors (see below), whose sum is σ = 2385355349520. Its totient is φ = 274219176960.

The previous prime is 825797748089. The next prime is 825797748133. The reversal of 825797748096 is 690847797528.

825797748096 is a `hidden beast` number, since 8 + 2 + 5 + 79 + 77 + 480 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 11 ways as a sum of consecutive naturals, for example, 1059835 + ... + 1665786.

Almost surely, 2^825797748096 is an apocalyptic number.

It is an amenable number.

825797748096 is an abundant number, since it is smaller than the sum of its proper divisors (1559557601424).

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

825797748096 is a wasteful number, since it uses less digits than its factorization.

825797748096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725904 (or 2725889 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 825797748096 in words is "eight hundred twenty-five billion, seven hundred ninety-seven million, seven hundred forty-eight thousand, ninety-six".