11426243693760 has 1120 divisors, whose sum is σ = 48985255587840. Its totient is φ = 2469761114112.

The previous prime is 11426243693737. The next prime is 11426243693789. The reversal of 11426243693760 is 6739634262411.

11426243693760 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 62 + 436 + 93 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 11426243693697 and 11426243693706.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2113228977 + ... + 2113234383.

Almost surely, 2^{11426243693760} is an apocalyptic number.

11426243693760 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 11426243693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24492627793920).

11426243693760 is an abundant number, since it is smaller than the sum of its proper divisors (37559011894080).

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

11426243693760 is a wasteful number, since it uses less digits than its factorization.

11426243693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

It can be divided in two parts, 1142624 and 3693760, that added together give a palindrome (4836384).

The spelling of 11426243693760 in words is "eleven trillion, four hundred twenty-six billion, two hundred forty-three million, six hundred ninety-three thousand, seven hundred sixty".