11006094240 has 384 divisors, whose sum is σ = 39757132800. Its totient is φ = 2842076160.

The previous prime is 11006094179. The next prime is 11006094241. The reversal of 11006094240 is 4249060011.

11006094240 is a `hidden beast` number, since 1 + 10 + 0 + 609 + 4 + 2 + 40 = 666.

It is a super-2 number, since 2×11006094240² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11006094241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33250875 + ... + 33251205.

It is an arithmetic number, because the mean of its divisors is an integer number (103534200).

Almost surely, 2^11006094240 is an apocalyptic number.

11006094240 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 11006094240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19878566400).

11006094240 is an abundant number, since it is smaller than the sum of its proper divisors (28751038560).

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

11006094240 is a wasteful number, since it uses less digits than its factorization.

11006094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11006094240 in words is "eleven billion, six million, ninety-four thousand, two hundred forty".