212553645696 has 768 divisors, whose sum is σ = 793308672000. Its totient is φ = 55651276800.

The previous prime is 212553645673. The next prime is 212553645697. The reversal of 212553645696 is 696546355212.

212553645696 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 536 + 45 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212553645697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99742551 + ... + 99744681.

It is an arithmetic number, because the mean of its divisors is an integer number (1032954000).

Almost surely, 2^212553645696 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 212553645696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396654336000).

212553645696 is an abundant number, since it is smaller than the sum of its proper divisors (580755026304).

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

212553645696 is a wasteful number, since it uses less digits than its factorization.

212553645696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2193 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 212553645696 in words is "two hundred twelve billion, five hundred fifty-three million, six hundred forty-five thousand, six hundred ninety-six".