10521255200 has 72 divisors (see below), whose sum is σ = 25725978432. Its totient is φ = 4201790720.

The previous prime is 10521255169. The next prime is 10521255209. The reversal of 10521255200 is 255212501.

It is a super-2 number, since 2×10521255200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10521255209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507437 + ... + 527763.

It is an arithmetic number, because the mean of its divisors is an integer number (357305256).

Almost surely, 2^10521255200 is an apocalyptic number.

10521255200 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 10521255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12862989216).

10521255200 is an abundant number, since it is smaller than the sum of its proper divisors (15204723232).

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

10521255200 is a wasteful number, since it uses less digits than its factorization.

10521255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20994 (or 20981 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 10521255200 its reverse (255212501), we get a palindrome (10776467701).

The spelling of 10521255200 in words is "ten billion, five hundred twenty-one million, two hundred fifty-five thousand, two hundred".