13773603916800 has 3168 divisors, whose sum is σ = 65192777395200. Its totient is φ = 2802525143040.

The previous prime is 13773603916789. The next prime is 13773603916811. The reversal of 13773603916800 is 861930637731.

13773603916800 is a `hidden beast` number, since 13 + 7 + 7 + 3 + 603 + 9 + 16 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13773603916789) and next prime (13773603916811).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 16416690781 + ... + 16416691619.

Almost surely, 2^{13773603916800} is an apocalyptic number.

13773603916800 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 13773603916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32596388697600).

13773603916800 is an abundant number, since it is smaller than the sum of its proper divisors (51419173478400).

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

13773603916800 is a wasteful number, since it uses less digits than its factorization.

13773603916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 13773603916800 in words is "thirteen trillion, seven hundred seventy-three billion, six hundred three million, nine hundred sixteen thousand, eight hundred".