11134287360 has 960 divisors, whose sum is σ = 48535179264. Its totient is φ = 2300313600.

The previous prime is 11134287349. The next prime is 11134287371. The reversal of 11134287360 is 6378243111.

11134287360 = T₁₀₇₆₀ + T₁₀₇₆₁ + ... + T₁₀₉₄₈.

It is a happy number.

11134287360 is a `hidden beast` number, since 1 + 1 + 13 + 4 + 287 + 360 = 666.

11134287360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11134287349) and next prime (11134287371).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84994495 + ... + 84994625.

Almost surely, 2^11134287360 is an apocalyptic number.

11134287360 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 11134287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267589632).

11134287360 is an abundant number, since it is smaller than the sum of its proper divisors (37400891904).

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

11134287360 is a wasteful number, since it uses less digits than its factorization.

11134287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11134287360 in words is "eleven billion, one hundred thirty-four million, two hundred eighty-seven thousand, three hundred sixty".