212756243431680 has 4320 divisors, whose sum is σ = 929658714415200. Its totient is φ = 46171243413504.

The previous prime is 212756243431679. The next prime is 212756243431723. The reversal of 212756243431680 is 86134342657212.

212756243431680 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 5 + 6 + 243 + 4 + 316 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 104036083236864 + 108720160194816 = 10199808^2 + 10426896^2 .

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2390519589076 + ... + 2390519589164.

It is an arithmetic number, because the mean of its divisors is an integer number (215198776485).

Almost surely, 2^{212756243431680} is an apocalyptic number.

212756243431680 is a gapful number since it is divisible by the number (20) 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 212756243431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464829357207600).

212756243431680 is an abundant number, since it is smaller than the sum of its proper divisors (716902470983520).

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

212756243431680 is an equidigital number, since it uses as much as digits as its factorization.

212756243431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 212756243431680 in words is "two hundred twelve trillion, seven hundred fifty-six billion, two hundred forty-three million, four hundred thirty-one thousand, six hundred eighty".