16543388160 has 1200 divisors, whose sum is σ = 71307920376. Its totient is φ = 3630956544.

The previous prime is 16543388149. The next prime is 16543388161. The reversal of 16543388160 is 6188334561.

16543388160 is a `hidden beast` number, since 16 + 543 + 3 + 88 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12583454976 + 3959933184 = 112176^2 + 62928^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16543388161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 870704631 + ... + 870704649.

Almost surely, 2^16543388160 is an apocalyptic number.

16543388160 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 16543388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35653960188).

16543388160 is an abundant number, since it is smaller than the sum of its proper divisors (54764532216).

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

16543388160 is a wasteful number, since it uses less digits than its factorization.

16543388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16543388160 in words is "sixteen billion, five hundred forty-three million, three hundred eighty-eight thousand, one hundred sixty".