11111355540 has 288 divisors, whose sum is σ = 35494018560. Its totient is φ = 2811260928.

The previous prime is 11111355527. The next prime is 11111355547. The reversal of 11111355540 is 4555311111.

11111355540 is a `hidden beast` number, since 1 + 1 + 1 + 113 + 5 + 5 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111355547) 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, 56402722 + ... + 56402918.

It is an arithmetic number, because the mean of its divisors is an integer number (123243120).

Almost surely, 2^11111355540 is an apocalyptic number.

11111355540 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 11111355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747009280).

11111355540 is an abundant number, since it is smaller than the sum of its proper divisors (24382663020).

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

11111355540 is a wasteful number, since it uses less digits than its factorization.

11111355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 11111355540 its reverse (4555311111), we get a palindrome (15666666651).

The spelling of 11111355540 in words is "eleven billion, one hundred eleven million, three hundred fifty-five thousand, five hundred forty".