216668777031200 has 144 divisors (see below), whose sum is σ = 576030893928840. Its totient is φ = 79101893713920.

The previous prime is 216668777031199. The next prime is 216668777031227. The reversal of 216668777031200 is 2130777866612.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 44854041603856 + 171814735427344 = 6697316^2 + 13107812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116116739 + ... + 117967938.

Almost surely, 2^{216668777031200} is an apocalyptic number.

216668777031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216668777031200 is an abundant number, since it is smaller than the sum of its proper divisors (359362116897640).

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

216668777031200 is a wasteful number, since it uses less digits than its factorization.

216668777031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234084799 (or 234084786 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 216668777031200 in words is "two hundred sixteen trillion, six hundred sixty-eight billion, seven hundred seventy-seven million, thirty-one thousand, two hundred".