16501422240 has 288 divisors, whose sum is σ = 59061759120. Its totient is φ = 4189667328.

The previous prime is 16501422199. The next prime is 16501422241. The reversal of 16501422240 is 4222410561.

16501422240 is a `hidden beast` number, since 1 + 650 + 1 + 4 + 2 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5423438736 + 11077983504 = 73644^2 + 105252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (16501422241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3045774 + ... + 3051186.

Almost surely, 2^16501422240 is an apocalyptic number.

16501422240 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 16501422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29530879560).

16501422240 is an abundant number, since it is smaller than the sum of its proper divisors (42560336880).

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

16501422240 is a wasteful number, since it uses less digits than its factorization.

16501422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 16501422240 in words is "sixteen billion, five hundred one million, four hundred twenty-two thousand, two hundred forty".