11192084640 has 576 divisors, whose sum is σ = 44707178880. Its totient is φ = 2519531520.

The previous prime is 11192084627. The next prime is 11192084641. The reversal of 11192084640 is 4648029111.

11192084640 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 2 + 0 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11192084595 and 11192084604.

It is not an unprimeable number, because it can be changed into a prime (11192084641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23965687 + ... + 23966153.

It is an arithmetic number, because the mean of its divisors is an integer number (77616630).

Almost surely, 2^11192084640 is an apocalyptic number.

11192084640 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 11192084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22353589440).

11192084640 is an abundant number, since it is smaller than the sum of its proper divisors (33515094240).

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

11192084640 is a wasteful number, since it uses less digits than its factorization.

11192084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11192084640 in words is "eleven billion, one hundred ninety-two million, eighty-four thousand, six hundred forty".