5825610685440 has 2816 divisors, whose sum is σ = 26622502502400. Its totient is φ = 1175516872704.

The previous prime is 5825610685423. The next prime is 5825610685501. The reversal of 5825610685440 is 445860165285.

5825610685440 is a `hidden beast` number, since 5 + 8 + 25 + 6 + 10 + 68 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34883896237 + ... + 34883896403.

Almost surely, 2^{5825610685440} 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 5825610685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311251251200).

5825610685440 is an abundant number, since it is smaller than the sum of its proper divisors (20796891816960).

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

5825610685440 is a wasteful number, since it uses less digits than its factorization.

5825610685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 5825610685440 in words is "five trillion, eight hundred twenty-five billion, six hundred ten million, six hundred eighty-five thousand, four hundred forty".