16052649984000 has 1536 divisors, whose sum is σ = 68676522969600. Its totient is φ = 3669177139200.

The previous prime is 16052649983921. The next prime is 16052649984013. The reversal of 16052649984000 is 48994625061.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ 4! ⋅ (2!)⁸.

16052649984000 is a `hidden beast` number, since 1 + 60 + 52 + 6 + 49 + 98 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2293235711997 + ... + 2293235712003.

It is an arithmetic number, because the mean of its divisors is an integer number (44711277975).

Almost surely, 2^{16052649984000} is an apocalyptic number.

16052649984000 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 16052649984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34338261484800).

16052649984000 is an abundant number, since it is smaller than the sum of its proper divisors (52623872985600).

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

16052649984000 is an frugal number, since it uses more digits than its factorization.

16052649984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16052649984000 in words is "sixteen trillion, fifty-two billion, six hundred forty-nine million, nine hundred eighty-four thousand".