11263426560 has 180 divisors, whose sum is σ = 39047909628. Its totient is φ = 3003383808.

The previous prime is 11263426547. The next prime is 11263426589. The reversal of 11263426560 is 6562436211.

11263426560 is a `hidden beast` number, since 1 + 12 + 63 + 4 + 26 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2267283456 + 8996143104 = 47616^2 + 94848^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729642 + ... + 744918.

Almost surely, 2^11263426560 is an apocalyptic number.

11263426560 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 11263426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19523954814).

11263426560 is an abundant number, since it is smaller than the sum of its proper divisors (27784483068).

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

11263426560 is an equidigital number, since it uses as much as digits as its factorization.

11263426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316 (or 15287 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11263426560 in words is "eleven billion, two hundred sixty-three million, four hundred twenty-six thousand, five hundred sixty".