13416468760800 has 2016 divisors, whose sum is σ = 57485934664704. Its totient is φ = 2993075712000.

The previous prime is 13416468760769. The next prime is 13416468760817. The reversal of 13416468760800 is 806786461431.

13416468760800 is a `hidden beast` number, since 1 + 3 + 41 + 6 + 468 + 7 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 49507264665 + ... + 49507264935.

It is an arithmetic number, because the mean of its divisors is an integer number (28514848544).

Almost surely, 2^{13416468760800} is an apocalyptic number.

13416468760800 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 13416468760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28742967332352).

13416468760800 is an abundant number, since it is smaller than the sum of its proper divisors (44069465903904).

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

13416468760800 is a wasteful number, since it uses less digits than its factorization.

13416468760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13416468760800 in words is "thirteen trillion, four hundred sixteen billion, four hundred sixty-eight million, seven hundred sixty thousand, eight hundred".