212188856469520 has 80 divisors (see below), whose sum is σ = 566278183733760. Its totient is φ = 72432777411072.

The previous prime is 212188856469493. The next prime is 212188856469661. The reversal of 212188856469520 is 25964658881212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×212188856469520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827183272 + ... + 827439751.

It is an arithmetic number, because the mean of its divisors is an integer number (7078477296672).

Almost surely, 2^{212188856469520} is an apocalyptic number.

212188856469520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212188856469520 is an abundant number, since it is smaller than the sum of its proper divisors (354089327264240).

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

212188856469520 is a wasteful number, since it uses less digits than its factorization.

212188856469520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654623272 (or 1654623266 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 67.

The spelling of 212188856469520 in words is "two hundred twelve trillion, one hundred eighty-eight billion, eight hundred fifty-six million, four hundred sixty-nine thousand, five hundred twenty".