825661876320 has 72 divisors (see below), whose sum is σ = 2817571157856. Its totient is φ = 220176499968.

The previous prime is 825661876309. The next prime is 825661876343. The reversal of 825661876320 is 23678166528.

825661876320 is a `hidden beast` number, since 8 + 2 + 566 + 1 + 8 + 76 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286686712 + ... + 286689591.

It is an arithmetic number, because the mean of its divisors is an integer number (39132932748).

Almost surely, 2^825661876320 is an apocalyptic number.

825661876320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825661876320 is an abundant number, since it is smaller than the sum of its proper divisors (1991909281536).

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

825661876320 is a wasteful number, since it uses less digits than its factorization.

825661876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573376324 (or 573376313 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 825661876320 in words is "eight hundred twenty-five billion, six hundred sixty-one million, eight hundred seventy-six thousand, three hundred twenty".