11027534940 has 72 divisors (see below), whose sum is σ = 34315480080. Its totient is φ = 2940025248.

The previous prime is 11027534939. The next prime is 11027534951. The reversal of 11027534940 is 4943572011.

11027534940 is a `hidden beast` number, since 1 + 1 + 0 + 275 + 349 + 40 = 666.

It is a super-3 number, since 3×11027534940³ (a number of 31 digits) contains 333 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 = 11027534895 and 11027534904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438001 + ... + 2442519.

It is an arithmetic number, because the mean of its divisors is an integer number (476603890).

Almost surely, 2^11027534940 is an apocalyptic number.

11027534940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11027534940 is an abundant number, since it is smaller than the sum of its proper divisors (23287945140).

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

11027534940 is an frugal number, since it uses more digits than its factorization.

11027534940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11027534940 in words is "eleven billion, twenty-seven million, five hundred thirty-four thousand, nine hundred forty".