11749640177088 has 672 divisors, whose sum is σ = 38845111032000. Its totient is φ = 3363518545920.

The previous prime is 11749640177087. The next prime is 11749640177111. The reversal of 11749640177088 is 88077104694711.

11749640177088 is a `hidden beast` number, since 1 + 1 + 74 + 96 + 401 + 7 + 70 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749640177087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1205210038 + ... + 1205219786.

It is an arithmetic number, because the mean of its divisors is an integer number (57805224750).

Almost surely, 2^{11749640177088} is an apocalyptic number.

11749640177088 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 11749640177088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422555516000).

11749640177088 is an abundant number, since it is smaller than the sum of its proper divisors (27095470854912).

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

11749640177088 is a wasteful number, since it uses less digits than its factorization.

11749640177088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 11749640177088 in words is "eleven trillion, seven hundred forty-nine billion, six hundred forty million, one hundred seventy-seven thousand, eighty-eight".