16054308864000 has 2560 divisors, whose sum is σ = 67334488341120. Its totient is φ = 3772514304000.

The previous prime is 16054308863969. The next prime is 16054308864001. The reversal of 16054308864000 is 46880345061.

16054308864000 is a `hidden beast` number, since 1 + 60 + 543 + 0 + 8 + 8 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16054308864001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 193425407959 + ... + 193425408041.

Almost surely, 2^{16054308864000} is an apocalyptic number.

16054308864000 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 16054308864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33667244170560).

16054308864000 is an abundant number, since it is smaller than the sum of its proper divisors (51280179477120).

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

16054308864000 is an frugal number, since it uses more digits than its factorization.

16054308864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 16054308864000 in words is "sixteen trillion, fifty-four billion, three hundred eight million, eight hundred sixty-four thousand".