11988297753768 has 576 divisors, whose sum is σ = 40524471936000. Its totient is φ = 3182577640704.

The previous prime is 11988297753661. The next prime is 11988297753781. The reversal of 11988297753768 is 86735779288911.

11988297753768 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 8 + 2 + 9 + 77 + 537 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1831109871 + ... + 1831116417.

It is an arithmetic number, because the mean of its divisors is an integer number (70354986000).

Almost surely, 2^{11988297753768} is an apocalyptic number.

11988297753768 is a gapful number since it is divisible by the number (18) 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 11988297753768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20262235968000).

11988297753768 is an abundant number, since it is smaller than the sum of its proper divisors (28536174182232).

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

11988297753768 is a wasteful number, since it uses less digits than its factorization.

11988297753768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7100 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 81.

The spelling of 11988297753768 in words is "eleven trillion, nine hundred eighty-eight billion, two hundred ninety-seven million, seven hundred fifty-three thousand, seven hundred sixty-eight".