11293039263744 has 1080 divisors, whose sum is σ = 39996547004700. Its totient is φ = 3178424696832.

The previous prime is 11293039263733. The next prime is 11293039263757. The reversal of 11293039263744 is 44736293039211.

11293039263744 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 303 + 9 + 263 + 74 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 168552824799 + ... + 168552824865.

Almost surely, 2^{11293039263744} is an apocalyptic number.

11293039263744 is a gapful number since it is divisible by the number (14) 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 11293039263744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998273502350).

11293039263744 is an abundant number, since it is smaller than the sum of its proper divisors (28703507740956).

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

11293039263744 is an frugal number, since it uses more digits than its factorization.

11293039263744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 11293039263744 in words is "eleven trillion, two hundred ninety-three billion, thirty-nine million, two hundred sixty-three thousand, seven hundred forty-four".