212107741335760 has 80 divisors (see below), whose sum is σ = 500322291073920. Its totient is φ = 83610319869440.

The previous prime is 212107741335709. The next prime is 212107741335761. The reversal of 212107741335760 is 67533147701212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212107741335761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4132671 + ... + 21007009.

It is an arithmetic number, because the mean of its divisors is an integer number (6254028638424).

Almost surely, 2^{212107741335760} is an apocalyptic number.

212107741335760 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 212107741335760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250161145536960).

212107741335760 is an abundant number, since it is smaller than the sum of its proper divisors (288214549738160).

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

212107741335760 is a wasteful number, since it uses less digits than its factorization.

212107741335760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16876636 (or 16876630 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 212107741335760 in words is "two hundred twelve trillion, one hundred seven billion, seven hundred forty-one million, three hundred thirty-five thousand, seven hundred sixty".