5825536284672 has 768 divisors, whose sum is σ = 19295461785600. Its totient is φ = 1724545105920.

The previous prime is 5825536284613. The next prime is 5825536284679. The reversal of 5825536284672 is 2764826355285.

5825536284672 is a `hidden beast` number, since 5 + 8 + 2 + 5 + 536 + 28 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5825536284679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4390004073 + ... + 4390005399.

It is an arithmetic number, because the mean of its divisors is an integer number (25124299200).

Almost surely, 2^{5825536284672} is an apocalyptic number.

5825536284672 is a gapful number since it is divisible by the number (52) 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 5825536284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647730892800).

5825536284672 is an abundant number, since it is smaller than the sum of its proper divisors (13469925500928).

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

5825536284672 is a wasteful number, since it uses less digits than its factorization.

5825536284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1573 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 5825536284672 in words is "five trillion, eight hundred twenty-five billion, five hundred thirty-six million, two hundred eighty-four thousand, six hundred seventy-two".