5825151646560 has 384 divisors, whose sum is σ = 20842317619200. Its totient is φ = 1519037706240.

The previous prime is 5825151646511. The next prime is 5825151646603. The reversal of 5825151646560 is 656461515285.

5825151646560 is a `hidden beast` number, since 5 + 8 + 2 + 5 + 1 + 516 + 4 + 65 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5825151646497 and 5825151646506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48622252 + ... + 48741908.

It is an arithmetic number, because the mean of its divisors is an integer number (54276868800).

Almost surely, 2^{5825151646560} 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 5825151646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10421158809600).

5825151646560 is an abundant number, since it is smaller than the sum of its proper divisors (15017165972640).

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

5825151646560 is a wasteful number, since it uses less digits than its factorization.

5825151646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119931 (or 119917 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 5825151646560 in words is "five trillion, eight hundred twenty-five billion, one hundred fifty-one million, six hundred forty-six thousand, five hundred sixty".