212567883552 has 192 divisors, whose sum is σ = 632324568960. Its totient is φ = 69448983552.

The previous prime is 212567883527. The next prime is 212567883623. The reversal of 212567883552 is 255388765212.

It is a happy number.

212567883552 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 6 + 7 + 8 + 83 + 552 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65343558 + ... + 65346810.

It is an arithmetic number, because the mean of its divisors is an integer number (3293357130).

Almost surely, 2^212567883552 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 212567883552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316162284480).

212567883552 is an abundant number, since it is smaller than the sum of its proper divisors (419756685408).

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

212567883552 is a wasteful number, since it uses less digits than its factorization.

212567883552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4738 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 212567883552 in words is "two hundred twelve billion, five hundred sixty-seven million, eight hundred eighty-three thousand, five hundred fifty-two".