16064019270000 has 1200 divisors, whose sum is σ = 66127333079808. Its totient is φ = 3601428480000.

The previous prime is 16064019269951. The next prime is 16064019270007. The reversal of 16064019270000 is 7291046061.

16064019270000 is a `hidden beast` number, since 1 + 6 + 0 + 640 + 1 + 9 + 2 + 7 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16064019270007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 616576974 + ... + 616603026.

Almost surely, 2^{16064019270000} is an apocalyptic number.

16064019270000 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 16064019270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33063666539904).

16064019270000 is an abundant number, since it is smaller than the sum of its proper divisors (50063313809808).

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

16064019270000 is a wasteful number, since it uses less digits than its factorization.

16064019270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26148 (or 26124 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16064019270000 in words is "sixteen trillion, sixty-four billion, nineteen million, two hundred seventy thousand".