11122563540 has 96 divisors (see below), whose sum is σ = 34012379520. Its totient is φ = 2693363200.

The previous prime is 11122563533. The next prime is 11122563553. The reversal of 11122563540 is 4536522111.

It is a super-2 number, since 2×11122563540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11122563498 and 11122563507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612106 + ... + 630014.

It is an arithmetic number, because the mean of its divisors is an integer number (354295620).

Almost surely, 2^11122563540 is an apocalyptic number.

11122563540 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 11122563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006189760).

11122563540 is an abundant number, since it is smaller than the sum of its proper divisors (22889815980).

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

11122563540 is a wasteful number, since it uses less digits than its factorization.

11122563540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18873 (or 18871 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

It can be divided in two parts, 1112 and 2563540, that added together give a palindrome (2564652).

The spelling of 11122563540 in words is "eleven billion, one hundred twenty-two million, five hundred sixty-three thousand, five hundred forty".