5825064960 has 936 divisors, whose sum is σ = 25254360144. Its totient is φ = 1226833920.

The previous prime is 5825064937. The next prime is 5825064997. The reversal of 5825064960 is 694605285.

5825064960 is a `hidden beast` number, since 5 + 82 + 506 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 342650872 + ... + 342650888.

It is an arithmetic number, because the mean of its divisors is an integer number (26981154).

Almost surely, 2^5825064960 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 5825064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627180072).

5825064960 is an abundant number, since it is smaller than the sum of its proper divisors (19429295184).

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

5825064960 is a wasteful number, since it uses less digits than its factorization.

5825064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5825064960 is about 76322.1131782919. The cubic root of 5825064960 is about 1799.2862355227.

The spelling of 5825064960 in words is "five billion, eight hundred twenty-five million, sixty-four thousand, nine hundred sixty".