16001728560 has 240 divisors, whose sum is σ = 56728020960. Its totient is φ = 4031078400.

The previous prime is 16001728549. The next prime is 16001728619. The reversal of 16001728560 is 6582710061.

16001728560 is a `hidden beast` number, since 1 + 60 + 0 + 17 + 28 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5484222 + ... + 5487138.

It is an arithmetic number, because the mean of its divisors is an integer number (236366754).

Almost surely, 2^16001728560 is an apocalyptic number.

16001728560 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 16001728560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28364010480).

16001728560 is an abundant number, since it is smaller than the sum of its proper divisors (40726292400).

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

16001728560 is a wasteful number, since it uses less digits than its factorization.

16001728560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 16001728560 in words is "sixteen billion, one million, seven hundred twenty-eight thousand, five hundred sixty".