11140553106 has 128 divisors (see below), whose sum is σ = 25777440000. Its totient is φ = 3564633600.

The previous prime is 11140553063. The next prime is 11140553117. The reversal of 11140553106 is 60135504111.

11140553106 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 553 + 106 = 666.

It is a super-2 number, since 2×11140553106² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11140553106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28638760 + ... + 28639148.

It is an arithmetic number, because the mean of its divisors is an integer number (201386250).

Almost surely, 2^11140553106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140553106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12888720000).

11140553106 is an abundant number, since it is smaller than the sum of its proper divisors (14636886894).

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

11140553106 is a wasteful number, since it uses less digits than its factorization.

11140553106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11140553106 in words is "eleven billion, one hundred forty million, five hundred fifty-three thousand, one hundred six".