212427664752 has 320 divisors, whose sum is σ = 628352640000. Its totient is φ = 61476839424.

The previous prime is 212427664727. The next prime is 212427664817. The reversal of 212427664752 is 257466724212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83336374 + ... + 83338922.

It is an arithmetic number, because the mean of its divisors is an integer number (1963602000).

Almost surely, 2^212427664752 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 212427664752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314176320000).

212427664752 is an abundant number, since it is smaller than the sum of its proper divisors (415924975248).

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

212427664752 is a wasteful number, since it uses less digits than its factorization.

212427664752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2762 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 212427664752 in words is "two hundred twelve billion, four hundred twenty-seven million, six hundred sixty-four thousand, seven hundred fifty-two".