10874991744 has 128 divisors (see below), whose sum is σ = 33492067200. Its totient is φ = 3467363328.

The previous prime is 10874991679. The next prime is 10874991773. The reversal of 10874991744 is 44719947801.

10874991744 is a `hidden beast` number, since 1 + 0 + 87 + 499 + 1 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 11082 + ... + 147894.

It is an arithmetic number, because the mean of its divisors is an integer number (261656775).

Almost surely, 2^10874991744 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 10874991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746033600).

10874991744 is an abundant number, since it is smaller than the sum of its proper divisors (22617075456).

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

10874991744 is a wasteful number, since it uses less digits than its factorization.

10874991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136859 (or 136841 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10874991744 in words is "ten billion, eight hundred seventy-four million, nine hundred ninety-one thousand, seven hundred forty-four".