2116661436120 has 384 divisors, whose sum is σ = 8396681126400. Its totient is φ = 416676648960.

The previous prime is 2116661436089. The next prime is 2116661436151. The reversal of 2116661436120 is 216341666112.

It is an interprime number because it is at equal distance from previous prime (2116661436089) and next prime (2116661436151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1383132 + ... + 2479188.

It is an arithmetic number, because the mean of its divisors is an integer number (21866357100).

Almost surely, 2^{2116661436120} is an apocalyptic number.

2116661436120 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 2116661436120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198340563200).

2116661436120 is an abundant number, since it is smaller than the sum of its proper divisors (6280019690280).

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

2116661436120 is a wasteful number, since it uses less digits than its factorization.

2116661436120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096119 (or 1096104 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 2116661436120 in words is "two trillion, one hundred sixteen billion, six hundred sixty-one million, four hundred thirty-six thousand, one hundred twenty".