10521350268 has 144 divisors (see below), whose sum is σ = 29141938560. Its totient is φ = 2934771840.

The previous prime is 10521350251. The next prime is 10521350317. The reversal of 10521350268 is 86205312501.

10521350268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10521350268² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 10324663 + ... + 10325681.

Almost surely, 2^10521350268 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 10521350268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570969280).

10521350268 is an abundant number, since it is smaller than the sum of its proper divisors (18620588292).

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

10521350268 is a wasteful number, since it uses less digits than its factorization.

10521350268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 10521350268 its reverse (86205312501), we get a palindrome (96726662769).

The spelling of 10521350268 in words is "ten billion, five hundred twenty-one million, three hundred fifty thousand, two hundred sixty-eight".