2116916985600 has 1080 divisors, whose sum is σ = 8087750038368. Its totient is φ = 545970585600.

The previous prime is 2116916985577. The next prime is 2116916985613. The reversal of 2116916985600 is 65896196112.

2116916985600 is a `hidden beast` number, since 2 + 1 + 1 + 69 + 16 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2911852437 + ... + 2911853163.

Almost surely, 2^{2116916985600} is an apocalyptic number.

2116916985600 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 2116916985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043875019184).

2116916985600 is an abundant number, since it is smaller than the sum of its proper divisors (5970833052768).

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

2116916985600 is a wasteful number, since it uses less digits than its factorization.

2116916985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 2116916985600 in words is "two trillion, one hundred sixteen billion, nine hundred sixteen million, nine hundred eighty-five thousand, six hundred".