10252804000 has 72 divisors (see below), whose sum is σ = 25206883884. Its totient is φ = 4098560000.

The previous prime is 10252803983. The next prime is 10252804063. The reversal of 10252804000 is 40825201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10252804000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6442951824 + 3809852176 = 80268^2 + 61724^2 .

It is a super-3 number, since 3×10252804000³ (a number of 31 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 6403200 + ... + 6404800.

Almost surely, 2^10252804000 is an apocalyptic number.

10252804000 is a gapful number since it is divisible by the number (10) 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 10252804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603441942).

10252804000 is an abundant number, since it is smaller than the sum of its proper divisors (14954079884).

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

10252804000 is an frugal number, since it uses more digits than its factorization.

10252804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Multiplying 10252804000 by its product of nonzero digits (640), we get a square (6561794560000 = 2561600²).

The spelling of 10252804000 in words is "ten billion, two hundred fifty-two million, eight hundred four thousand".