5825858088960 has 2808 divisors, whose sum is σ = 26644269965040. Its totient is φ = 1166690746368.

The previous prime is 5825858088949. The next prime is 5825858088961. The reversal of 5825858088960 is 698808585285.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5825858088961) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 98743357411 + ... + 98743357469.

It is an arithmetic number, because the mean of its divisors is an integer number (9488700130).

Almost surely, 2^{5825858088960} 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 5825858088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322134982520).

5825858088960 is an abundant number, since it is smaller than the sum of its proper divisors (20818411876080).

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

5825858088960 is a wasteful number, since it uses less digits than its factorization.

5825858088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 442368000, while the sum is 72.

The spelling of 5825858088960 in words is "five trillion, eight hundred twenty-five billion, eight hundred fifty-eight million, eighty-eight thousand, nine hundred sixty".