5825724208128 has 616 divisors, whose sum is σ = 19334107254240. Its totient is φ = 1738857922560.

The previous prime is 5825724207983. The next prime is 5825724208133. The reversal of 5825724208128 is 8218024275285.

5825724208128 is a `hidden beast` number, since 5 + 8 + 2 + 572 + 42 + 0 + 8 + 1 + 28 = 666.

It is a super-2 number, since 2×5825724208128² (a number of 26 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 550162258 + ... + 550172846.

Almost surely, 2^{5825724208128} 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 5825724208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9667053627120).

5825724208128 is an abundant number, since it is smaller than the sum of its proper divisors (13508383046112).

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

5825724208128 is a wasteful number, since it uses less digits than its factorization.

5825724208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 5825724208128 in words is "five trillion, eight hundred twenty-five billion, seven hundred twenty-four million, two hundred eight thousand, one hundred twenty-eight".