16466409388800 has 2916 divisors, whose sum is σ = 72934671163536. Its totient is φ = 3668281344000.

The previous prime is 16466409388789. The next prime is 16466409388823. The reversal of 16466409388800 is 888390466461.

16466409388800 is a `hidden beast` number, since 1 + 6 + 466 + 4 + 0 + 93 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2916).

It is a super-2 number, since 2×16466409388800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 109049068725 + ... + 109049068875.

Almost surely, 2^{16466409388800} is an apocalyptic number.

16466409388800 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 16466409388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36467335581768).

16466409388800 is an abundant number, since it is smaller than the sum of its proper divisors (56468261774736).

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

16466409388800 is an frugal number, since it uses more digits than its factorization.

16466409388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 16466409388800 in words is "sixteen trillion, four hundred sixty-six billion, four hundred nine million, three hundred eighty-eight thousand, eight hundred".