212561768320 has 128 divisors (see below), whose sum is σ = 557673984000. Its totient is φ = 76831918080.

The previous prime is 212561768317. The next prime is 212561768357. The reversal of 212561768320 is 23867165212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085281 + ... + 1266079.

It is an arithmetic number, because the mean of its divisors is an integer number (4356828000).

Almost surely, 2^212561768320 is an apocalyptic number.

212561768320 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 212561768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278836992000).

212561768320 is an abundant number, since it is smaller than the sum of its proper divisors (345112215680).

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

212561768320 is a wasteful number, since it uses less digits than its factorization.

212561768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180996 (or 180984 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 212561768320 in words is "two hundred twelve billion, five hundred sixty-one million, seven hundred sixty-eight thousand, three hundred twenty".