5852528640000 has 1995 divisors, whose sum is σ = 25510275026247. Its totient is φ = 1337720832000.

The previous prime is 5852528639963. The next prime is 5852528640001. The reversal of 5852528640000 is 468252585.

It is a happy number.

The square root of 5852528640000 is 2419200.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 7! ⋅ (5!)² ⋅ 2!.

5852528640000 is a `hidden beast` number, since 5 + 8 + 525 + 2 + 86 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458838245376 + 5393690394624 = 677376^2 + 2322432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5852528640001) by changing a digit.

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 104 ways as a sum of consecutive naturals, for example, 836075519997 + ... + 836075520003.

Almost surely, 2^{5852528640000} is an apocalyptic number.

5852528640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5852528640000 is the 2419200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852528640000

5852528640000 is an abundant number, since it is smaller than the sum of its proper divisors (19657746386247).

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

5852528640000 is an frugal number, since it uses more digits than its factorization.

5852528640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 5852528640000 in words is "five trillion, eight hundred fifty-two billion, five hundred twenty-eight million, six hundred forty thousand".