11265636695040 has 2112 divisors, whose sum is σ = 50518459958400. Its totient is φ = 2373785616384.

The previous prime is 11265636695011. The next prime is 11265636695059. The reversal of 11265636695040 is 4059663656211.

11265636695040 is a `hidden beast` number, since 1 + 1 + 26 + 56 + 3 + 6 + 69 + 504 + 0 = 666.

11265636695040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 14881950342 + ... + 14881951098.

Almost surely, 2^{11265636695040} is an apocalyptic number.

11265636695040 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 11265636695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25259229979200).

11265636695040 is an abundant number, since it is smaller than the sum of its proper divisors (39252823263360).

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

11265636695040 is an equidigital number, since it uses as much as digits as its factorization.

11265636695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 11265636695040 in words is "eleven trillion, two hundred sixty-five billion, six hundred thirty-six million, six hundred ninety-five thousand, forty".