2116715716160 has 112 divisors (see below), whose sum is σ = 5123812327920. Its totient is φ = 832793149440.

The previous prime is 2116715716151. The next prime is 2116715716187. The reversal of 2116715716160 is 616175176112.

It can be written as a sum of positive squares in 8 ways, for example, as 180298747456 + 1936416968704 = 424616^2 + 1391552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4557080 + ... + 5000040.

Almost surely, 2^{2116715716160} is an apocalyptic number.

2116715716160 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 2116715716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561906163960).

2116715716160 is an abundant number, since it is smaller than the sum of its proper divisors (3007096611760).

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

2116715716160 is a wasteful number, since it uses less digits than its factorization.

2116715716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443224 (or 443214 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 2116715716160 in words is "two trillion, one hundred sixteen billion, seven hundred fifteen million, seven hundred sixteen thousand, one hundred sixty".