212487893952 has 336 divisors, whose sum is σ = 599279472000. Its totient is φ = 66419558400.

The previous prime is 212487893941. The next prime is 212487893957. The reversal of 212487893952 is 259398784212.

212487893952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212487893952² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212487893957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426093174 + ... + 1426093322.

Almost surely, 2^212487893952 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 212487893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299639736000).

212487893952 is an abundant number, since it is smaller than the sum of its proper divisors (386791578048).

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

212487893952 is a wasteful number, since it uses less digits than its factorization.

212487893952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 375 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 212487893952 in words is "two hundred twelve billion, four hundred eighty-seven million, eight hundred ninety-three thousand, nine hundred fifty-two".