20116242057240 has 512 divisors, whose sum is σ = 84173893632000. Its totient is φ = 4166606366208.

The previous prime is 20116242057227. The next prime is 20116242057251. The reversal of 20116242057240 is 4275024261102.

20116242057240 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 2 + 42 + 0 + 572 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20116242057195 and 20116242057204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259237 + ... + 6348203.

It is an arithmetic number, because the mean of its divisors is an integer number (164402136000).

Almost surely, 2^{20116242057240} is an apocalyptic number.

20116242057240 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 20116242057240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42086946816000).

20116242057240 is an abundant number, since it is smaller than the sum of its proper divisors (64057651574760).

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

20116242057240 is a wasteful number, since it uses less digits than its factorization.

20116242057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089036 (or 6089026 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20116242057240 in words is "twenty trillion, one hundred sixteen billion, two hundred forty-two million, fifty-seven thousand, two hundred forty".