10521627312 has 120 divisors (see below), whose sum is σ = 31677447216. Its totient is φ = 3000582144.

The previous prime is 10521627253. The next prime is 10521627329. The reversal of 10521627312 is 21372612501.

It is a super-2 number, since 2×10521627312² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10521627312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1353228 + ... + 1360980.

Almost surely, 2^10521627312 is an apocalyptic number.

10521627312 is a gapful number since it is divisible by the number (12) 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 10521627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838723608).

10521627312 is an abundant number, since it is smaller than the sum of its proper divisors (21155819904).

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

10521627312 is a wasteful number, since it uses less digits than its factorization.

10521627312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10521627312 in words is "ten billion, five hundred twenty-one million, six hundred twenty-seven thousand, three hundred twelve".