825488280584 has 128 divisors (see below), whose sum is σ = 1866323047680. Its totient is φ = 337656422400.

The previous prime is 825488280577. The next prime is 825488280611. The reversal of 825488280584 is 485082884528.

It is a super-2 number, since 2×825488280584² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146334404 + ... + 146340044.

It is an arithmetic number, because the mean of its divisors is an integer number (14580648810).

Almost surely, 2^825488280584 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 825488280584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933161523840).

825488280584 is an abundant number, since it is smaller than the sum of its proper divisors (1040834767096).

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

825488280584 is a wasteful number, since it uses less digits than its factorization.

825488280584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 52428800, while the sum is 62.

The spelling of 825488280584 in words is "eight hundred twenty-five billion, four hundred eighty-eight million, two hundred eighty thousand, five hundred eighty-four".