11749774793760 has 288 divisors, whose sum is σ = 40258793352960. Its totient is φ = 3120568934400.

The previous prime is 11749774793723. The next prime is 11749774793761. The reversal of 11749774793760 is 6739747794711.

11749774793760 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 97 + 7 + 479 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11749774793761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1954709155 + ... + 1954715165.

It is an arithmetic number, because the mean of its divisors is an integer number (139787476920).

Almost surely, 2^{11749774793760} is an apocalyptic number.

11749774793760 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 11749774793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129396676480).

11749774793760 is an abundant number, since it is smaller than the sum of its proper divisors (28509018559200).

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

11749774793760 is a wasteful number, since it uses less digits than its factorization.

11749774793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11301 counting only the distinct ones).

The product of its (nonzero) digits is 392073696, while the sum is 72.

The spelling of 11749774793760 in words is "eleven trillion, seven hundred forty-nine billion, seven hundred seventy-four million, seven hundred ninety-three thousand, seven hundred sixty".