212856635628000 has 1728 divisors, whose sum is σ = 971941789885248. Its totient is φ = 43696441958400.

The previous prime is 212856635627939. The next prime is 212856635628059. The reversal of 212856635628000 is 826536658212.

212856635628000 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 5 + 6 + 6 + 3 + 5 + 628 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 848358567 + ... + 848609433.

It is an arithmetic number, because the mean of its divisors is an integer number (562466313591).

Almost surely, 2^{212856635628000} is an apocalyptic number.

212856635628000 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 212856635628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485970894942624).

212856635628000 is an abundant number, since it is smaller than the sum of its proper divisors (759085154257248).

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

212856635628000 is a wasteful number, since it uses less digits than its factorization.

212856635628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250962 (or 250934 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 212856635628000 in words is "two hundred twelve trillion, eight hundred fifty-six billion, six hundred thirty-five million, six hundred twenty-eight thousand".