212385553632 has 264 divisors, whose sum is σ = 716841837936. Its totient is φ = 60677807616.

The previous prime is 212385553609. The next prime is 212385553651. The reversal of 212385553632 is 236355583212.

212385553632 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 8 + 5 + 5 + 5 + 3 + 632 = 666.

It is a super-2 number, since 2×212385553632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 13218948 + ... + 13235004.

Almost surely, 2^212385553632 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 212385553632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358420918968).

212385553632 is an abundant number, since it is smaller than the sum of its proper divisors (504456284304).

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

212385553632 is an frugal number, since it uses more digits than its factorization.

212385553632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16104 (or 16069 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 212385553632 in words is "two hundred twelve billion, three hundred eighty-five million, five hundred fifty-three thousand, six hundred thirty-two".