212352002566704 has 720 divisors, whose sum is σ = 839313284365920. Its totient is φ = 50913559065600.

The previous prime is 212352002566597. The next prime is 212352002566709. The reversal of 212352002566704 is 407665200253212.

212352002566704 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 520 + 0 + 2 + 56 + 6 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212352002566704.

It is not an unprimeable number, because it can be changed into a prime (212352002566709) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30108534 + ... + 36485994.

Almost surely, 2^{212352002566704} is an apocalyptic number.

212352002566704 is a gapful number since it is divisible by the number (24) 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 212352002566704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419656642182960).

212352002566704 is an abundant number, since it is smaller than the sum of its proper divisors (626961281799216).

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

212352002566704 is a wasteful number, since it uses less digits than its factorization.

212352002566704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377527 (or 6377497 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 212352002566704 in words is "two hundred twelve trillion, three hundred fifty-two billion, two million, five hundred sixty-six thousand, seven hundred four".