10873404672 has 288 divisors, whose sum is σ = 32364009216. Its totient is φ = 3219456000.

The previous prime is 10873404667. The next prime is 10873404691. The reversal of 10873404672 is 27640437801.

It is a super-2 number, since 2×10873404672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 41343613 + ... + 41343875.

It is an arithmetic number, because the mean of its divisors is an integer number (112375032).

Almost surely, 2^10873404672 is an apocalyptic number.

10873404672 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 10873404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182004608).

10873404672 is an abundant number, since it is smaller than the sum of its proper divisors (21490604544).

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

10873404672 is a wasteful number, since it uses less digits than its factorization.

10873404672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 10873404672 in words is "ten billion, eight hundred seventy-three million, four hundred four thousand, six hundred seventy-two".