10864409472 has 224 divisors, whose sum is σ = 37089162480. Its totient is φ = 3103930368.

The previous prime is 10864409443. The next prime is 10864409533. The reversal of 10864409472 is 27490446801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 644868 + ... + 661500.

Almost surely, 2^10864409472 is an apocalyptic number.

10864409472 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 10864409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544581240).

10864409472 is an abundant number, since it is smaller than the sum of its proper divisors (26224753008).

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

10864409472 is an frugal number, since it uses more digits than its factorization.

10864409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672 (or 16645 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10864409472 in words is "ten billion, eight hundred sixty-four million, four hundred nine thousand, four hundred seventy-two".