16426451116800 has 1620 divisors, whose sum is σ = 65345709987096. Its totient is φ = 4069962547200.

The previous prime is 16426451116799. The next prime is 16426451116813. The reversal of 16426451116800 is 861115462461.

16426451116800 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 6 + 451 + 116 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

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 179 ways as a sum of consecutive naturals, for example, 12434860140 + ... + 12434861460.

Almost surely, 2^{16426451116800} is an apocalyptic number.

16426451116800 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 16426451116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32672854993548).

16426451116800 is an abundant number, since it is smaller than the sum of its proper divisors (48919258870296).

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

16426451116800 is a wasteful number, since it uses less digits than its factorization.

16426451116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 16426451116800 in words is "sixteen trillion, four hundred twenty-six billion, four hundred fifty-one million, one hundred sixteen thousand, eight hundred".