564351634200120 has 256 divisors, whose sum is σ = 1922383500710400. Its totient is φ = 131391191439360.

The previous prime is 564351634200071. The next prime is 564351634200197. The reversal of 564351634200120 is 21002436153465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2638975 + ... + 33699665.

It is an arithmetic number, because the mean of its divisors is an integer number (7509310549650).

Almost surely, 2^{564351634200120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564351634200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961191750355200).

564351634200120 is an abundant number, since it is smaller than the sum of its proper divisors (1358031866510280).

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

564351634200120 is a wasteful number, since it uses less digits than its factorization.

564351634200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31061350 (or 31061346 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 564351634200120 in words is "five hundred sixty-four trillion, three hundred fifty-one billion, six hundred thirty-four million, two hundred thousand, one hundred twenty".