11751749321760 has 960 divisors, whose sum is σ = 47860102692864. Its totient is φ = 2671093324800.

The previous prime is 11751749321701. The next prime is 11751749321761. The reversal of 11751749321760 is 6712394715711.

11751749321760 is a `hidden beast` number, since 1 + 1 + 7 + 517 + 49 + 3 + 21 + 7 + 60 = 666.

It is a super-2 number, since 2×11751749321760² (a number of 27 digits) contains 22 as substring.

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 = 11751749321697 and 11751749321706.

It is not an unprimeable number, because it can be changed into a prime (11751749321761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4210585965 + ... + 4210588755.

Almost surely, 2^{11751749321760} is an apocalyptic number.

11751749321760 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 11751749321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930051346432).

11751749321760 is an abundant number, since it is smaller than the sum of its proper divisors (36108353371104).

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

11751749321760 is an frugal number, since it uses more digits than its factorization.

11751749321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 11751749321760 in words is "eleven trillion, seven hundred fifty-one billion, seven hundred forty-nine million, three hundred twenty-one thousand, seven hundred sixty".