11026794240 has 864 divisors, whose sum is σ = 49222397952. Its totient is φ = 2211840000.

The previous prime is 11026794239. The next prime is 11026794283. The reversal of 11026794240 is 4249762011.

It is a happy number.

It is a super-2 number, since 2×11026794240² (a number of 21 digits) contains 22 as substring.

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 = 11026794195 and 11026794204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27498040 + ... + 27498440.

It is an arithmetic number, because the mean of its divisors is an integer number (56970368).

Almost surely, 2^11026794240 is an apocalyptic number.

11026794240 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 11026794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24611198976).

11026794240 is an abundant number, since it is smaller than the sum of its proper divisors (38195603712).

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

11026794240 is a wasteful number, since it uses less digits than its factorization.

11026794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11026794240 in words is "eleven billion, twenty-six million, seven hundred ninety-four thousand, two hundred forty".