11135264140 has 192 divisors, whose sum is σ = 31713389568. Its totient is φ = 3171456000.

The previous prime is 11135264131. The next prime is 11135264143. The reversal of 11135264140 is 4146253111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11135264099 and 11135264108.

It is not an unprimeable number, because it can be changed into a prime (11135264143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2019267 + ... + 2024773.

It is an arithmetic number, because the mean of its divisors is an integer number (165173904).

Almost surely, 2^11135264140 is an apocalyptic number.

11135264140 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 11135264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856694784).

11135264140 is an abundant number, since it is smaller than the sum of its proper divisors (20578125428).

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

11135264140 is a wasteful number, since it uses less digits than its factorization.

11135264140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11135264140 in words is "eleven billion, one hundred thirty-five million, two hundred sixty-four thousand, one hundred forty".