212552169984 has 720 divisors, whose sum is σ = 799539284544. Its totient is φ = 55180984320.

The previous prime is 212552169937. The next prime is 212552170013. The reversal of 212552169984 is 489961255212.

212552169984 is a `hidden beast` number, since 2 + 1 + 2 + 552 + 1 + 6 + 9 + 9 + 84 = 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 a self number, because there is not a number n which added to its sum of digits gives 212552169984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105379344 + ... + 105381360.

Almost surely, 2^212552169984 is an apocalyptic number.

212552169984 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 212552169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399769642272).

212552169984 is an abundant number, since it is smaller than the sum of its proper divisors (586987114560).

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

212552169984 is an equidigital number, since it uses as much as digits as its factorization.

212552169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2040 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 212552169984 in words is "two hundred twelve billion, five hundred fifty-two million, one hundred sixty-nine thousand, nine hundred eighty-four".