16555841164800 has 1440 divisors, whose sum is σ = 71550689962752. Its totient is φ = 3712533626880.

The previous prime is 16555841164783. The next prime is 16555841164831. The reversal of 16555841164800 is 846114855561.

It is a happy number.

16555841164800 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 584 + 1 + 16 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 1153951227 + ... + 1153965573.

Almost surely, 2^{16555841164800} is an apocalyptic number.

16555841164800 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 16555841164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35775344981376).

16555841164800 is an abundant number, since it is smaller than the sum of its proper divisors (54994848797952).

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

16555841164800 is an equidigital number, since it uses as much as digits as its factorization.

16555841164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14450 (or 14417 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 16555841164800 in words is "sixteen trillion, five hundred fifty-five billion, eight hundred forty-one million, one hundred sixty-four thousand, eight hundred".