825961633473024 has 1280 divisors, whose sum is σ = 2615318393909760. Its totient is φ = 257029680660480.

The previous prime is 825961633473019. The next prime is 825961633473091. The reversal of 825961633473024 is 420374336169528.

825961633473024 is a `hidden beast` number, since 8 + 2 + 5 + 9 + 616 + 3 + 3 + 4 + 7 + 3 + 0 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279324189754 + ... + 279324192710.

It is an arithmetic number, because the mean of its divisors is an integer number (2043217495242).

It is a 1-persistent number, because it is pandigital, but 2⋅825961633473024 = 1651923266946048 is not.

Almost surely, 2^{825961633473024} 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 825961633473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307659196954880).

825961633473024 is an abundant number, since it is smaller than the sum of its proper divisors (1789356760436736).

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

825961633473024 is a wasteful number, since it uses less digits than its factorization.

825961633473024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 825961633473024 in words is "eight hundred twenty-five trillion, nine hundred sixty-one billion, six hundred thirty-three million, four hundred seventy-three thousand, twenty-four".