212718599909088 has 3072 divisors, whose sum is σ = 786579849216000. Its totient is φ = 49833197568000.

The previous prime is 212718599909087. The next prime is 212718599909117. The reversal of 212718599909088 is 880909995817212.

212718599909088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212718599909087) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1113709947073 + ... + 1113709947263.

It is an arithmetic number, because the mean of its divisors is an integer number (256048128000).

Almost surely, 2^{212718599909088} is an apocalyptic number.

212718599909088 is a gapful number since it is divisible by the number (28) 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 212718599909088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393289924608000).

212718599909088 is an abundant number, since it is smaller than the sum of its proper divisors (573861249306912).

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

212718599909088 is a wasteful number, since it uses less digits than its factorization.

212718599909088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 78.

The spelling of 212718599909088 in words is "two hundred twelve trillion, seven hundred eighteen billion, five hundred ninety-nine million, nine hundred nine thousand, eighty-eight".