11206827540 has 72 divisors (see below), whose sum is σ = 34039719168. Its totient is φ = 2984472000.

The previous prime is 11206827529. The next prime is 11206827563. The reversal of 11206827540 is 4572860211.

11206827540 is a `hidden beast` number, since 11 + 20 + 6 + 82 + 7 + 540 = 666.

It is a super-2 number, since 2×11206827540² (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 = 11206827495 and 11206827504.

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 23 ways as a sum of consecutive naturals, for example, 93729 + ... + 176631.

Almost surely, 2^11206827540 is an apocalyptic number.

11206827540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11206827540 is an abundant number, since it is smaller than the sum of its proper divisors (22832891628).

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

11206827540 is a wasteful number, since it uses less digits than its factorization.

11206827540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83669 (or 83664 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11206827540 in words is "eleven billion, two hundred six million, eight hundred twenty-seven thousand, five hundred forty".