212789419583664 has 640 divisors, whose sum is σ = 748097602689024. Its totient is φ = 50426707968000.

The previous prime is 212789419583621. The next prime is 212789419583761. The reversal of 212789419583664 is 466385914987212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404186524 + ... + 404712644.

Almost surely, 2^{212789419583664} is an apocalyptic number.

212789419583664 is a gapful number since it is divisible by the number (24) 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 212789419583664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374048801344512).

212789419583664 is an abundant number, since it is smaller than the sum of its proper divisors (535308183105360).

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

212789419583664 is a wasteful number, since it uses less digits than its factorization.

212789419583664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526365 (or 526359 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 75.

The spelling of 212789419583664 in words is "two hundred twelve trillion, seven hundred eighty-nine billion, four hundred nineteen million, five hundred eighty-three thousand, six hundred sixty-four".