16541223874560 has 4992 divisors, whose sum is σ = 82614347366400. Its totient is φ = 3090135121920.

The previous prime is 16541223874559. The next prime is 16541223874597. The reversal of 16541223874560 is 6547832214561.

16541223874560 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 1 + 2 + 2 + 3 + 8 + 74 + 560 = 666.

It is a super-2 number, since 2×16541223874560² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16541223874497 and 16541223874506.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 130245857217 + ... + 130245857343.

Almost surely, 2^{16541223874560} is an apocalyptic number.

16541223874560 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 16541223874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41307173683200).

16541223874560 is an abundant number, since it is smaller than the sum of its proper divisors (66073123491840).

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

16541223874560 is a wasteful number, since it uses less digits than its factorization.

16541223874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 16541223874560 in words is "sixteen trillion, five hundred forty-one billion, two hundred twenty-three million, eight hundred seventy-four thousand, five hundred sixty".