825266715840 has 896 divisors, whose sum is σ = 3484083456000. Its totient is φ = 179901775872.

The previous prime is 825266715799. The next prime is 825266715851. The reversal of 825266715840 is 48517662528.

825266715840 is a `hidden beast` number, since 8 + 2 + 52 + 6 + 6 + 7 + 1 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145572526 + ... + 145578194.

It is an arithmetic number, because the mean of its divisors is an integer number (3888486000).

Almost surely, 2^825266715840 is an apocalyptic number.

825266715840 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 825266715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742041728000).

825266715840 is an abundant number, since it is smaller than the sum of its proper divisors (2658816740160).

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

825266715840 is a wasteful number, since it uses less digits than its factorization.

825266715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 825266715840 in words is "eight hundred twenty-five billion, two hundred sixty-six million, seven hundred fifteen thousand, eight hundred forty".