825092563680 has 768 divisors, whose sum is σ = 3628939345920. Its totient is φ = 170089113600.

The previous prime is 825092563651. The next prime is 825092563697. The reversal of 825092563680 is 86365290528.

825092563680 is a `hidden beast` number, since 8 + 2 + 509 + 2 + 56 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42235515 + ... + 42255045.

It is an arithmetic number, because the mean of its divisors is an integer number (4725181440).

Almost surely, 2^825092563680 is an apocalyptic number.

825092563680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825092563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814469672960).

825092563680 is an abundant number, since it is smaller than the sum of its proper divisors (2803846782240).

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

825092563680 is a wasteful number, since it uses less digits than its factorization.

825092563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19700 (or 19686 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 825092563680 in words is "eight hundred twenty-five billion, ninety-two million, five hundred sixty-three thousand, six hundred eighty".