212581656360960 has 768 divisors, whose sum is σ = 707565617740800. Its totient is φ = 54456172412928.

The previous prime is 212581656360893. The next prime is 212581656360973. The reversal of 212581656360960 is 69063656185212.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 212581656360894 and 212581656360903.

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, 14925335599 + ... + 14925349841.

It is an arithmetic number, because the mean of its divisors is an integer number (921309398100).

Almost surely, 2^{212581656360960} is an apocalyptic number.

212581656360960 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 212581656360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353782808870400).

212581656360960 is an abundant number, since it is smaller than the sum of its proper divisors (494983961379840).

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

212581656360960 is a wasteful number, since it uses less digits than its factorization.

212581656360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14518 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 212581656360960 in words is "two hundred twelve trillion, five hundred eighty-one billion, six hundred fifty-six million, three hundred sixty thousand, nine hundred sixty".