564210240000 has 1200 divisors, whose sum is σ = 2163182734944. Its totient is φ = 129536000000.

The previous prime is 564210239969. The next prime is 564210240037. The reversal of 564210240000 is 42012465.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5586239950 + ... + 5586240050.

Almost surely, 2^564210240000 is an apocalyptic number.

564210240000 is a gapful number since it is divisible by the number (50) 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 564210240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081591367472).

564210240000 is an abundant number, since it is smaller than the sum of its proper divisors (1598972494944).

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

564210240000 is a wasteful number, since it uses less digits than its factorization.

564210240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 564210240000 its reverse (42012465), we get a palindrome (564252252465).

The spelling of 564210240000 in words is "five hundred sixty-four billion, two hundred ten million, two hundred forty thousand".