2116895491200 has 1728 divisors, whose sum is σ = 8707118958720. Its totient is φ = 450474393600.

The previous prime is 2116895491181. The next prime is 2116895491219. The reversal of 2116895491200 is 21945986112.

It is an interprime number because it is at equal distance from previous prime (2116895491181) and next prime (2116895491219).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2116895491200.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11695555110 + ... + 11695555290.

It is an arithmetic number, because the mean of its divisors is an integer number (5038841990).

Almost surely, 2^{2116895491200} is an apocalyptic number.

2116895491200 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 2116895491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353559479360).

2116895491200 is an abundant number, since it is smaller than the sum of its proper divisors (6590223467520).

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

2116895491200 is a wasteful number, since it uses less digits than its factorization.

2116895491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 2116895491200 in words is "two trillion, one hundred sixteen billion, eight hundred ninety-five million, four hundred ninety-one thousand, two hundred".