11251215360 has 1056 divisors, whose sum is σ = 51077399040. Its totient is φ = 2322432000.

The previous prime is 11251215341. The next prime is 11251215373. The reversal of 11251215360 is 6351215211.

11251215360 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 121 + 536 + 0 = 666.

11251215360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

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

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, 74511285 + ... + 74511435.

Almost surely, 2^11251215360 is an apocalyptic number.

11251215360 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 11251215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25538699520).

11251215360 is an abundant number, since it is smaller than the sum of its proper divisors (39826183680).

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

11251215360 is a wasteful number, since it uses less digits than its factorization.

11251215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11251215360 in words is "eleven billion, two hundred fifty-one million, two hundred fifteen thousand, three hundred sixty".