212576750669088 has 960 divisors, whose sum is σ = 707149056176640. Its totient is φ = 62219080654848.

The previous prime is 212576750669021. The next prime is 212576750669159. The reversal of 212576750669088 is 880966057675212.

212576750669088 is a `hidden beast` number, since 2 + 1 + 2 + 57 + 6 + 7 + 506 + 69 + 0 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 8981218918 + ... + 8981242586.

It is an arithmetic number, because the mean of its divisors is an integer number (736613600184).

Almost surely, 2^{212576750669088} 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 212576750669088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353574528088320).

212576750669088 is an abundant number, since it is smaller than the sum of its proper divisors (494572305507552).

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

212576750669088 is a wasteful number, since it uses less digits than its factorization.

212576750669088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23911 (or 23894 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 212576750669088 in words is "two hundred twelve trillion, five hundred seventy-six billion, seven hundred fifty million, six hundred sixty-nine thousand, eighty-eight".