11064263040 has 320 divisors, whose sum is σ = 40267996560. Its totient is φ = 2894082048.

The previous prime is 11064263029. The next prime is 11064263057. The reversal of 11064263040 is 4036246011.

11064263040 is a `hidden beast` number, since 1 + 10 + 642 + 6 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 11064262995 and 11064263013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2745507 + ... + 2749533.

Almost surely, 2^11064263040 is an apocalyptic number.

11064263040 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 11064263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20133998280).

11064263040 is an abundant number, since it is smaller than the sum of its proper divisors (29203733520).

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

11064263040 is an equidigital number, since it uses as much as digits as its factorization.

11064263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 11064263040 in words is "eleven billion, sixty-four million, two hundred sixty-three thousand, forty".