11125164240 has 320 divisors, whose sum is σ = 40514073600. Its totient is φ = 2798240256.

The previous prime is 11125164199. The next prime is 11125164257. The reversal of 11125164240 is 4246152111.

11125164240 is a `hidden beast` number, since 1 + 1 + 12 + 5 + 1 + 642 + 4 + 0 = 666.

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

It is a congruent number.

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, 12598839 + ... + 12599721.

It is an arithmetic number, because the mean of its divisors is an integer number (126606480).

Almost surely, 2^11125164240 is an apocalyptic number.

11125164240 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 11125164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257036800).

11125164240 is an abundant number, since it is smaller than the sum of its proper divisors (29388909360).

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

11125164240 is a wasteful number, since it uses less digits than its factorization.

11125164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11125164240 in words is "eleven billion, one hundred twenty-five million, one hundred sixty-four thousand, two hundred forty".