212417594475840 has 896 divisors, whose sum is σ = 824703651072000. Its totient is φ = 51142126436352.

The previous prime is 212417594475829. The next prime is 212417594475841. The reversal of 212417594475840 is 48574495714212.

It is a happy number.

212417594475840 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 7 + 5 + 9 + 4 + 47 + 584 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212417594475841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8810705706 + ... + 8810729814.

It is an arithmetic number, because the mean of its divisors is an integer number (920428182000).

Almost surely, 2^{212417594475840} is an apocalyptic number.

212417594475840 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 212417594475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412351825536000).

212417594475840 is an abundant number, since it is smaller than the sum of its proper divisors (612286056596160).

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

212417594475840 is a wasteful number, since it uses less digits than its factorization.

212417594475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25864 (or 25848 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 212417594475840 in words is "two hundred twelve trillion, four hundred seventeen billion, five hundred ninety-four million, four hundred seventy-five thousand, eight hundred forty".