16738540560 has 480 divisors, whose sum is σ = 65983776768. Its totient is φ = 3723632640.

The previous prime is 16738540517. The next prime is 16738540571. The reversal of 16738540560 is 6504583761.

16738540560 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 85 + 4 + 0 + 560 = 666.

16738540560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16738540560² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 59567620 + ... + 59567900.

Almost surely, 2^16738540560 is an apocalyptic number.

16738540560 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 16738540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32991888384).

16738540560 is an abundant number, since it is smaller than the sum of its proper divisors (49245236208).

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

16738540560 is a wasteful number, since it uses less digits than its factorization.

16738540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16738540560 in words is "sixteen billion, seven hundred thirty-eight million, five hundred forty thousand, five hundred sixty".