11263236755520 has 448 divisors, whose sum is σ = 39115135180800. Its totient is φ = 2733608632320.

The previous prime is 11263236755479. The next prime is 11263236755521. The reversal of 11263236755520 is 2555763236211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11263236755520.

It is not an unprimeable number, because it can be changed into a prime (11263236755521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738129651 + ... + 738144909.

It is an arithmetic number, because the mean of its divisors is an integer number (87310569600).

Almost surely, 2^{11263236755520} is an apocalyptic number.

11263236755520 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 11263236755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557567590400).

11263236755520 is an abundant number, since it is smaller than the sum of its proper divisors (27851898425280).

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

11263236755520 is a wasteful number, since it uses less digits than its factorization.

11263236755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16786 (or 16776 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 11263236755520 in words is "eleven trillion, two hundred sixty-three billion, two hundred thirty-six million, seven hundred fifty-five thousand, five hundred twenty".