212071652352 has 528 divisors, whose sum is σ = 746041300992. Its totient is φ = 56705679360.

The previous prime is 212071652311. The next prime is 212071652383. The reversal of 212071652352 is 253256170212.

212071652352 is a `hidden beast` number, since 2 + 12 + 0 + 71 + 6 + 523 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69735952 + ... + 69738992.

Almost surely, 2^212071652352 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 212071652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373020650496).

212071652352 is an abundant number, since it is smaller than the sum of its proper divisors (533969648640).

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

212071652352 is a wasteful number, since it uses less digits than its factorization.

212071652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 212071652352 in words is "two hundred twelve billion, seventy-one million, six hundred fifty-two thousand, three hundred fifty-two".