10874223360 has 1728 divisors, whose sum is σ = 53997705216. Its totient is φ = 1946419200.

The previous prime is 10874223359. The next prime is 10874223407. The reversal of 10874223360 is 6332247801.

It is a happy number.

10874223360 is a `hidden beast` number, since 1 + 0 + 8 + 74 + 223 + 360 = 666.

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 191 ways as a sum of consecutive naturals, for example, 265224940 + ... + 265224980.

It is an arithmetic number, because the mean of its divisors is an integer number (31248672).

Almost surely, 2^10874223360 is an apocalyptic number.

10874223360 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 10874223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998852608).

10874223360 is an abundant number, since it is smaller than the sum of its proper divisors (43123481856).

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

10874223360 is a wasteful number, since it uses less digits than its factorization.

10874223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10874223360 in words is "ten billion, eight hundred seventy-four million, two hundred twenty-three thousand, three hundred sixty".