212799567137472 has 336 divisors, whose sum is σ = 728608880315520. Its totient is φ = 60726337749504.

The previous prime is 212799567137461. The next prime is 212799567137501. The reversal of 212799567137472 is 274731765997212.

212799567137472 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 9 + 9 + 56 + 71 + 37 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 212799567137472.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68504263 + ... + 71543225.

Almost surely, 2^{212799567137472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212799567137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364304440157760).

212799567137472 is an abundant number, since it is smaller than the sum of its proper divisors (515809313178048).

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

212799567137472 is a wasteful number, since it uses less digits than its factorization.

212799567137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039825 (or 3039802 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 72.

The spelling of 212799567137472 in words is "two hundred twelve trillion, seven hundred ninety-nine billion, five hundred sixty-seven million, one hundred thirty-seven thousand, four hundred seventy-two".