11164275360 has 1152 divisors, whose sum is σ = 50721914880. Its totient is φ = 2257403904.

The previous prime is 11164275349. The next prime is 11164275391. The reversal of 11164275360 is 6357246111.

11164275360 is a `hidden beast` number, since 1 + 1 + 1 + 642 + 7 + 5 + 3 + 6 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 87907617 + ... + 87907743.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^11164275360 is an apocalyptic number.

11164275360 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 11164275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

11164275360 is an abundant number, since it is smaller than the sum of its proper divisors (39557639520).

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

11164275360 is a wasteful number, since it uses less digits than its factorization.

11164275360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11164275360 in words is "eleven billion, one hundred sixty-four million, two hundred seventy-five thousand, three hundred sixty".