212480820958560 has 384 divisors, whose sum is σ = 863244969753600. Its totient is φ = 42629380792320.

The previous prime is 212480820958537. The next prime is 212480820958661. The reversal of 212480820958560 is 65859028084212.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 212480820958494 and 212480820958503.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 98047815 + ... + 100191494.

It is an arithmetic number, because the mean of its divisors is an integer number (2248033775400).

Almost surely, 2^{212480820958560} is an apocalyptic number.

212480820958560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212480820958560 is an abundant number, since it is smaller than the sum of its proper divisors (650764148795040).

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

212480820958560 is a wasteful number, since it uses less digits than its factorization.

212480820958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198239374 (or 198239366 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 212480820958560 in words is "two hundred twelve trillion, four hundred eighty billion, eight hundred twenty million, nine hundred fifty-eight thousand, five hundred sixty".