2116955160576 has 315 divisors, whose sum is σ = 6362881488453. Its totient is φ = 703975587840.

The previous prime is 2116955160511. The next prime is 2116955160581. The reversal of 2116955160576 is 6750615596112.

It is a happy number.

The square root of 2116955160576 is 1454976.

It is a perfect power (a square), and thus also a powerful number.

2116955160576 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 9 + 5 + 5 + 1 + 60 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10044850176 + 2106910310400 = 100224^2 + 1451520^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5028396846 + ... + 5028397266.

Almost surely, 2^{2116955160576} is an apocalyptic number.

2116955160576 is the 1454976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116955160576

2116955160576 is an abundant number, since it is smaller than the sum of its proper divisors (4245926327877).

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

2116955160576 is an frugal number, since it uses more digits than its factorization.

2116955160576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 2116955160576 in words is "two trillion, one hundred sixteen billion, nine hundred fifty-five million, one hundred sixty thousand, five hundred seventy-six".