16544838240 has 1152 divisors, whose sum is σ = 72648576000. Its totient is φ = 3413975040.

The previous prime is 16544838223. The next prime is 16544838241. The reversal of 16544838240 is 4283844561.

16544838240 is a `hidden beast` number, since 1 + 6 + 54 + 483 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16544838241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 384763659 + ... + 384763701.

It is an arithmetic number, because the mean of its divisors is an integer number (63063000).

Almost surely, 2^16544838240 is an apocalyptic number.

16544838240 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 16544838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288000).

16544838240 is an abundant number, since it is smaller than the sum of its proper divisors (56103737760).

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

16544838240 is a wasteful number, since it uses less digits than its factorization.

16544838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 16544838240 in words is "sixteen billion, five hundred forty-four million, eight hundred thirty-eight thousand, two hundred forty".