10867055472 has 320 divisors, whose sum is σ = 40414080000. Its totient is φ = 2715005952.

The previous prime is 10867055443. The next prime is 10867055473. The reversal of 10867055472 is 27455076801.

10867055472 is a `hidden beast` number, since 10 + 86 + 7 + 0 + 554 + 7 + 2 = 666.

10867055472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10867055473) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 739654 + ... + 754202.

It is an arithmetic number, because the mean of its divisors is an integer number (126294000).

Almost surely, 2^10867055472 is an apocalyptic number.

10867055472 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 10867055472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20207040000).

10867055472 is an abundant number, since it is smaller than the sum of its proper divisors (29547024528).

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

10867055472 is a wasteful number, since it uses less digits than its factorization.

10867055472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14605 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 10867055472 in words is "ten billion, eight hundred sixty-seven million, fifty-five thousand, four hundred seventy-two".