10875226320 has 480 divisors, whose sum is σ = 43941830400. Its totient is φ = 2421715968.

The previous prime is 10875226253. The next prime is 10875226357. The reversal of 10875226320 is 2362257801.

10875226320 is a `hidden beast` number, since 10 + 8 + 7 + 5 + 2 + 2 + 632 + 0 = 666.

It is a super-2 number, since 2×10875226320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 27956686 + ... + 27957074.

It is an arithmetic number, because the mean of its divisors is an integer number (91545480).

Almost surely, 2^10875226320 is an apocalyptic number.

10875226320 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 10875226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970915200).

10875226320 is an abundant number, since it is smaller than the sum of its proper divisors (33066604080).

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

10875226320 is a wasteful number, since it uses less digits than its factorization.

10875226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10875226320 in words is "ten billion, eight hundred seventy-five million, two hundred twenty-six thousand, three hundred twenty".