16042521600 has 990 divisors, whose sum is σ = 69319792230. Its totient is φ = 3540418560.

The previous prime is 16042521589. The next prime is 16042521601. The reversal of 16042521600 is 612524061.

16042521600 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 2 + 52 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1084253184 + 14958268416 = 32928^2 + 122304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16042521601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 553190386 + ... + 553190414.

Almost surely, 2^16042521600 is an apocalyptic number.

16042521600 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 16042521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659896115).

16042521600 is an abundant number, since it is smaller than the sum of its proper divisors (53277270630).

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

16042521600 is an equidigital number, since it uses as much as digits as its factorization.

16042521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 16042521600 in words is "sixteen billion, forty-two million, five hundred twenty-one thousand, six hundred".