16260652800 has 540 divisors, whose sum is σ = 68727382416. Its totient is φ = 3715891200.

The previous prime is 16260652799. The next prime is 16260652801. The reversal of 16260652800 is 825606261.

16260652800 is a `hidden beast` number, since 1 + 626 + 0 + 6 + 5 + 28 + 0 + 0 = 666.

16260652800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16260652799) and next prime (16260652801).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16260652801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3626560 + ... + 3631040.

Almost surely, 2^16260652800 is an apocalyptic number.

16260652800 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 16260652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34363691208).

16260652800 is an abundant number, since it is smaller than the sum of its proper divisors (52466729616).

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

16260652800 is an equidigital number, since it uses as much as digits as its factorization.

16260652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16260652800 in words is "sixteen billion, two hundred sixty million, six hundred fifty-two thousand, eight hundred".