16124338560 has 256 divisors, whose sum is σ = 56863710720. Its totient is φ = 3853516800.

The previous prime is 16124338553. The next prime is 16124338567. The reversal of 16124338560 is 6583342161.

It is an interprime number because it is at equal distance from previous prime (16124338553) and next prime (16124338567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16124338567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1494144 + ... + 1504896.

It is an arithmetic number, because the mean of its divisors is an integer number (222123870).

Almost surely, 2^16124338560 is an apocalyptic number.

16124338560 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 16124338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28431855360).

16124338560 is an abundant number, since it is smaller than the sum of its proper divisors (40739372160).

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

16124338560 is a wasteful number, since it uses less digits than its factorization.

16124338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 16124338560 in words is "sixteen billion, one hundred twenty-four million, three hundred thirty-eight thousand, five hundred sixty".