11933680112640 has 2816 divisors, whose sum is σ = 51858416332800. Its totient is φ = 2563964928000.

The previous prime is 11933680112621. The next prime is 11933680112671. The reversal of 11933680112640 is 4621108633911.

11933680112640 is a `hidden beast` number, since 1 + 19 + 3 + 368 + 0 + 11 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85853813691 + ... + 85853813829.

It is an arithmetic number, because the mean of its divisors is an integer number (18415630800).

Almost surely, 2^{11933680112640} is an apocalyptic number.

11933680112640 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 11933680112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25929208166400).

11933680112640 is an abundant number, since it is smaller than the sum of its proper divisors (39924736220160).

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

11933680112640 is a wasteful number, since it uses less digits than its factorization.

11933680112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11933680112640 in words is "eleven trillion, nine hundred thirty-three billion, six hundred eighty million, one hundred twelve thousand, six hundred forty".