16563875328000 has 7488 divisors, whose sum is σ = 89079350330880. Its totient is φ = 3009871872000.

The previous prime is 16563875327947. The next prime is 16563875328023. The reversal of 16563875328000 is 82357836561.

16563875328000 is a `hidden beast` number, since 1 + 6 + 563 + 8 + 7 + 53 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 871782911991 + ... + 871782912009.

It is an arithmetic number, because the mean of its divisors is an integer number (11896280760).

Almost surely, 2^{16563875328000} is an apocalyptic number.

16563875328000 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 16563875328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44539675165440).

16563875328000 is an abundant number, since it is smaller than the sum of its proper divisors (72515475002880).

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

16563875328000 is a wasteful number, since it uses less digits than its factorization.

16563875328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 16563875328000 in words is "sixteen trillion, five hundred sixty-three billion, eight hundred seventy-five million, three hundred twenty-eight thousand".