11190744000 has 448 divisors, whose sum is σ = 41538631680. Its totient is φ = 2949350400.

The previous prime is 11190743983. The next prime is 11190744011. The reversal of 11190744000 is 44709111.

11190744000 is a `hidden beast` number, since 1 + 1 + 190 + 74 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22247749 + ... + 22248251.

It is an arithmetic number, because the mean of its divisors is an integer number (92720160).

Almost surely, 2^11190744000 is an apocalyptic number.

11190744000 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 11190744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769315840).

11190744000 is an abundant number, since it is smaller than the sum of its proper divisors (30347887680).

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

11190744000 is a wasteful number, since it uses less digits than its factorization.

11190744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11190744000 in words is "eleven billion, one hundred ninety million, seven hundred forty-four thousand".