11247888960 has 1344 divisors, whose sum is σ = 52537766400. Its totient is φ = 2214051840.

The previous prime is 11247888943. The next prime is 11247888991. The reversal of 11247888960 is 6988874211.

11247888960 is a `hidden beast` number, since 1 + 1 + 2 + 478 + 88 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11247888897 and 11247888906.

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, 212224294 + ... + 212224346.

It is an arithmetic number, because the mean of its divisors is an integer number (39090600).

Almost surely, 2^11247888960 is an apocalyptic number.

11247888960 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 11247888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26268883200).

11247888960 is an abundant number, since it is smaller than the sum of its proper divisors (41289877440).

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

11247888960 is a wasteful number, since it uses less digits than its factorization.

11247888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11247888960 in words is "eleven billion, two hundred forty-seven million, eight hundred eighty-eight thousand, nine hundred sixty".