10503862688 has 96 divisors (see below), whose sum is σ = 23031485568. Its totient is φ = 4675507200.

The previous prime is 10503862667. The next prime is 10503862751. The reversal of 10503862688 is 88626830501.

It is a super-2 number, since 2×10503862688² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3922406 + ... + 3925082.

It is an arithmetic number, because the mean of its divisors is an integer number (239911308).

Almost surely, 2^10503862688 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 10503862688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515742784).

10503862688 is an abundant number, since it is smaller than the sum of its proper divisors (12527622880).

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

10503862688 is a wasteful number, since it uses less digits than its factorization.

10503862688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 10503862688 in words is "ten billion, five hundred three million, eight hundred sixty-two thousand, six hundred eighty-eight".