212165339806992 has 320 divisors, whose sum is σ = 658835627821056. Its totient is φ = 57986915143680.

The previous prime is 212165339806969. The next prime is 212165339807027. The reversal of 212165339806992 is 299608933561212.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51636093 + ... + 55593315.

Almost surely, 2^{212165339806992} is an apocalyptic number.

212165339806992 is a gapful number since it is divisible by the number (22) 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 212165339806992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329417813910528).

212165339806992 is an abundant number, since it is smaller than the sum of its proper divisors (446670288014064).

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

212165339806992 is a wasteful number, since it uses less digits than its factorization.

212165339806992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957438 (or 3957432 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 212165339806992 in words is "two hundred twelve trillion, one hundred sixty-five billion, three hundred thirty-nine million, eight hundred six thousand, nine hundred ninety-two".