16027413760 has 144 divisors (see below), whose sum is σ = 40076421840. Its totient is φ = 6133514240.

The previous prime is 16027413733. The next prime is 16027413781. The reversal of 16027413760 is 6731472061.

It can be written as a sum of positive squares in 8 ways, for example, as 380406016 + 15647007744 = 19504^2 + 125088^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192650 + ... + 4196470.

It is an arithmetic number, because the mean of its divisors is an integer number (278308485).

Almost surely, 2^16027413760 is an apocalyptic number.

16027413760 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 16027413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038210920).

16027413760 is an abundant number, since it is smaller than the sum of its proper divisors (24049008080).

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

16027413760 is a wasteful number, since it uses less digits than its factorization.

16027413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 16027413760 in words is "sixteen billion, twenty-seven million, four hundred thirteen thousand, seven hundred sixty".