11135038320 has 360 divisors, whose sum is σ = 43655558544. Its totient is φ = 2536095744.

The previous prime is 11135038303. The next prime is 11135038333. The reversal of 11135038320 is 2383053111.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19297872 + ... + 19298448.

Almost surely, 2^11135038320 is an apocalyptic number.

11135038320 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 11135038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21827779272).

11135038320 is an abundant number, since it is smaller than the sum of its proper divisors (32520520224).

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

11135038320 is a wasteful number, since it uses less digits than its factorization.

11135038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11135038320 in words is "eleven billion, one hundred thirty-five million, thirty-eight thousand, three hundred twenty".