20116320840000 has 2100 divisors, whose sum is σ = 94568980239360. Its totient is φ = 4179651840000.

The previous prime is 20116320839983. The next prime is 20116320840029. The reversal of 20116320840000 is 4802361102.

20116320840000 is a `hidden beast` number, since 20 + 1 + 1 + 632 + 0 + 8 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 299 ways as a sum of consecutive naturals, for example, 1746354241 + ... + 1746365759.

Almost surely, 2^{20116320840000} is an apocalyptic number.

20116320840000 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 20116320840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47284490119680).

20116320840000 is an abundant number, since it is smaller than the sum of its proper divisors (74452659399360).

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

20116320840000 is a wasteful number, since it uses less digits than its factorization.

20116320840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20116320840000 in words is "twenty trillion, one hundred sixteen billion, three hundred twenty million, eight hundred forty thousand".