10884857460 has 96 divisors (see below), whose sum is σ = 31327887360. Its totient is φ = 2822262912.

The previous prime is 10884857449. The next prime is 10884857471. The reversal of 10884857460 is 6475848801.

10884857460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10884857449) and next prime (10884857471).

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 31 ways as a sum of consecutive naturals, for example, 565881 + ... + 584799.

It is an arithmetic number, because the mean of its divisors is an integer number (326332160).

Almost surely, 2^10884857460 is an apocalyptic number.

10884857460 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 10884857460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663943680).

10884857460 is an abundant number, since it is smaller than the sum of its proper divisors (20443029900).

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

10884857460 is a wasteful number, since it uses less digits than its factorization.

10884857460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19197 (or 19195 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 10884857460 in words is "ten billion, eight hundred eighty-four million, eight hundred fifty-seven thousand, four hundred sixty".