11135136960 has 448 divisors, whose sum is σ = 42793920000. Its totient is φ = 2714923008.

The previous prime is 11135136953. The next prime is 11135137021. The reversal of 11135136960 is 6963153111.

11135136960 is a `hidden beast` number, since 11 + 13 + 513 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4759471 + ... + 4761809.

Almost surely, 2^11135136960 is an apocalyptic number.

11135136960 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 11135136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960000).

11135136960 is an abundant number, since it is smaller than the sum of its proper divisors (31658783040).

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

11135136960 is a wasteful number, since it uses less digits than its factorization.

11135136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 11135136960 in words is "eleven billion, one hundred thirty-five million, one hundred thirty-six thousand, nine hundred sixty".