16138054225920 has 624 divisors, whose sum is σ = 58341037315392. Its totient is φ = 3777217167360.

The previous prime is 16138054225879. The next prime is 16138054225927. The reversal of 16138054225920 is 2952245083161.

16138054225920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16138054225920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16138054225927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568367244 + ... + 568395636.

It is an arithmetic number, because the mean of its divisors is an integer number (93495252108).

Almost surely, 2^{16138054225920} is an apocalyptic number.

16138054225920 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 16138054225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29170518657696).

16138054225920 is an abundant number, since it is smaller than the sum of its proper divisors (42202983089472).

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

16138054225920 is a wasteful number, since it uses less digits than its factorization.

16138054225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28494 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 16138054225920 in words is "sixteen trillion, one hundred thirty-eight billion, fifty-four million, two hundred twenty-five thousand, nine hundred twenty".