825948594240 has 1512 divisors, whose sum is σ = 3487661247168. Its totient is φ = 164989440000.

The previous prime is 825948594227. The next prime is 825948594323. The reversal of 825948594240 is 42495849528.

It is a super-2 number, since 2×825948594240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5469858165 + ... + 5469858315.

It is an arithmetic number, because the mean of its divisors is an integer number (2306654264).

Almost surely, 2^825948594240 is an apocalyptic number.

825948594240 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 825948594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743830623584).

825948594240 is an abundant number, since it is smaller than the sum of its proper divisors (2661712652928).

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

825948594240 is a wasteful number, since it uses less digits than its factorization.

825948594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 825948594240 in words is "eight hundred twenty-five billion, nine hundred forty-eight million, five hundred ninety-four thousand, two hundred forty".