11174042880 has 2304 divisors, whose sum is σ = 59338137600. Its totient is φ = 1911029760.

The previous prime is 11174042851. The next prime is 11174042903. The reversal of 11174042880 is 8824047111.

11174042880 is a `hidden beast` number, since 1 + 117 + 40 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 588107511 + ... + 588107529.

It is an arithmetic number, because the mean of its divisors is an integer number (25754400).

Almost surely, 2^11174042880 is an apocalyptic number.

11174042880 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 11174042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29669068800).

11174042880 is an abundant number, since it is smaller than the sum of its proper divisors (48164094720).

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

11174042880 is a wasteful number, since it uses less digits than its factorization.

11174042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 11174042880 its reverse (8824047111), we get a palindrome (19998089991).

The spelling of 11174042880 in words is "eleven billion, one hundred seventy-four million, forty-two thousand, eight hundred eighty".