212435975152 has 80 divisors (see below), whose sum is σ = 428444800000. Its totient is φ = 101929052160.

The previous prime is 212435975111. The next prime is 212435975153. The reversal of 212435975152 is 251579534212.

It is a super-2 number, since 2×212435975152² (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 (212435975153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86109823 + ... + 86112289.

It is an arithmetic number, because the mean of its divisors is an integer number (5355560000).

Almost surely, 2^212435975152 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 212435975152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214222400000).

212435975152 is an abundant number, since it is smaller than the sum of its proper divisors (216008824848).

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

212435975152 is a wasteful number, since it uses less digits than its factorization.

212435975152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3888 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

The spelling of 212435975152 in words is "two hundred twelve billion, four hundred thirty-five million, nine hundred seventy-five thousand, one hundred fifty-two".