20116314027600 has 240 divisors, whose sum is σ = 73738468674048. Its totient is φ = 4592170667520.

The previous prime is 20116314027571. The next prime is 20116314027611. The reversal of 20116314027600 is 672041361102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5089327 + ... + 8132273.

Almost surely, 2^{20116314027600} is an apocalyptic number.

20116314027600 is a gapful number since it is divisible by the number (20) 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 20116314027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36869234337024).

20116314027600 is an abundant number, since it is smaller than the sum of its proper divisors (53622154646448).

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

20116314027600 is a wasteful number, since it uses less digits than its factorization.

20116314027600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043762 (or 3043751 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 20116314027600 its reverse (672041361102), we get a palindrome (20788355388702).

The spelling of 20116314027600 in words is "twenty trillion, one hundred sixteen billion, three hundred fourteen million, twenty-seven thousand, six hundred".