10893256704 has 192 divisors, whose sum is σ = 35203896000. Its totient is φ = 3300802560.

The previous prime is 10893256697. The next prime is 10893256709. The reversal of 10893256704 is 40765239801.

10893256704 is a `hidden beast` number, since 1 + 0 + 89 + 3 + 2 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 10893256704.

It is not an unprimeable number, because it can be changed into a prime (10893256709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599302 + ... + 617210.

It is an arithmetic number, because the mean of its divisors is an integer number (183353625).

It is a 1-persistent number, because it is pandigital, but 2⋅10893256704 = 21786513408 is not.

Almost surely, 2^10893256704 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 10893256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601948000).

10893256704 is an abundant number, since it is smaller than the sum of its proper divisors (24310639296).

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

10893256704 is a wasteful number, since it uses less digits than its factorization.

10893256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10893256704 in words is "ten billion, eight hundred ninety-three million, two hundred fifty-six thousand, seven hundred four".