825697751472 has 240 divisors, whose sum is σ = 2547688985088. Its totient is φ = 247555077120.

The previous prime is 825697751443. The next prime is 825697751477. The reversal of 825697751472 is 274157796528.

825697751472 is a `hidden beast` number, since 8 + 2 + 5 + 6 + 97 + 75 + 1 + 472 = 666.

825697751472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (825697751477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286004013 + ... + 286006899.

Almost surely, 2^825697751472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825697751472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273844492544).

825697751472 is an abundant number, since it is smaller than the sum of its proper divisors (1721991233616).

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

825697751472 is a wasteful number, since it uses less digits than its factorization.

825697751472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4759 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 825697751472 in words is "eight hundred twenty-five billion, six hundred ninety-seven million, seven hundred fifty-one thousand, four hundred seventy-two".