13775766004000 has 1536 divisors, whose sum is σ = 49923044720640. Its totient is φ = 3591143424000.

The previous prime is 13775766003991. The next prime is 13775766004003. The reversal of 13775766004000 is 40066757731.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (13775766004003) 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 255 ways as a sum of consecutive naturals, for example, 1749744064 + ... + 1749751936.

It is an arithmetic number, because the mean of its divisors is an integer number (32501982240).

Almost surely, 2^{13775766004000} is an apocalyptic number.

13775766004000 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 13775766004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961522360320).

13775766004000 is an abundant number, since it is smaller than the sum of its proper divisors (36147278716640).

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

13775766004000 is a wasteful number, since it uses less digits than its factorization.

13775766004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 13775766004000 in words is "thirteen trillion, seven hundred seventy-five billion, seven hundred sixty-six million, four thousand".