11263415760 has 240 divisors, whose sum is σ = 38615363280. Its totient is φ = 2941378560.

The previous prime is 11263415759. The next prime is 11263415797. The reversal of 11263415760 is 6751436211.

11263415760 is a `hidden beast` number, since 1 + 1 + 2 + 634 + 15 + 7 + 6 + 0 = 666.

11263415760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1959655824 + 9303759936 = 44268^2 + 96456^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 13922236 + ... + 13923044.

It is an arithmetic number, because the mean of its divisors is an integer number (160897347).

Almost surely, 2^11263415760 is an apocalyptic number.

11263415760 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 11263415760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307681640).

11263415760 is an abundant number, since it is smaller than the sum of its proper divisors (27351947520).

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

11263415760 is a wasteful number, since it uses less digits than its factorization.

11263415760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

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

The spelling of 11263415760 in words is "eleven billion, two hundred sixty-three million, four hundred fifteen thousand, seven hundred sixty".