16563777612140 has 384 divisors, whose sum is σ = 41200312366080. Its totient is φ = 5530208256000.

The previous prime is 16563777612139. The next prime is 16563777612157. The reversal of 16563777612140 is 4121677736561.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4222220219 + ... + 4222224141.

It is an arithmetic number, because the mean of its divisors is an integer number (107292480120).

Almost surely, 2^{16563777612140} is an apocalyptic number.

16563777612140 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 16563777612140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600156183040).

16563777612140 is an abundant number, since it is smaller than the sum of its proper divisors (24636534753940).

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

16563777612140 is a wasteful number, since it uses less digits than its factorization.

16563777612140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 56.

It can be divided in two parts, 165637 and 77612140, that added together give a palindrome (77777777).

The spelling of 16563777612140 in words is "sixteen trillion, five hundred sixty-three billion, seven hundred seventy-seven million, six hundred twelve thousand, one hundred forty".