825235033458080 has 1152 divisors, whose sum is σ = 2458695081669120. Its totient is φ = 255476603289600.

The previous prime is 825235033458071. The next prime is 825235033458109. The reversal of 825235033458080 is 80854330532528.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 601045180274 + ... + 601045181646.

It is an arithmetic number, because the mean of its divisors is an integer number (2134283925060).

Almost surely, 2^{825235033458080} is an apocalyptic number.

825235033458080 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 825235033458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229347540834560).

825235033458080 is an abundant number, since it is smaller than the sum of its proper divisors (1633460048211040).

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

825235033458080 is a wasteful number, since it uses less digits than its factorization.

825235033458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 56.

The spelling of 825235033458080 in words is "eight hundred twenty-five trillion, two hundred thirty-five billion, thirty-three million, four hundred fifty-eight thousand, eighty".