10874223238410 has 384 divisors, whose sum is σ = 34014685985280. Its totient is φ = 2448100786176.

The previous prime is 10874223238369. The next prime is 10874223238427. The reversal of 10874223238410 is 1483232247801.

10874223238410 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 223 + 2 + 3 + 8 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 959851626 + ... + 959862954.

It is an arithmetic number, because the mean of its divisors is an integer number (88579911420).

Almost surely, 2^{10874223238410} is an apocalyptic number.

10874223238410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10874223238410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007342992640).

10874223238410 is an abundant number, since it is smaller than the sum of its proper divisors (23140462746870).

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

10874223238410 is a wasteful number, since it uses less digits than its factorization.

10874223238410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10874223238410 in words is "ten trillion, eight hundred seventy-four billion, two hundred twenty-three million, two hundred thirty-eight thousand, four hundred ten".