564875072360500 has 192 divisors, whose sum is σ = 1359418221697536. Its totient is φ = 203338321920000.

The previous prime is 564875072360483. The next prime is 564875072360509. The reversal of 564875072360500 is 5063270578465.

It is a happy number.

It is a super-2 number, since 2×564875072360500² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564875072360509) 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 63 ways as a sum of consecutive naturals, for example, 1516334260 + ... + 1516706740.

It is an arithmetic number, because the mean of its divisors is an integer number (7080303238008).

Almost surely, 2^{564875072360500} is an apocalyptic number.

564875072360500 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 564875072360500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679709110848768).

564875072360500 is an abundant number, since it is smaller than the sum of its proper divisors (794543149337036).

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

564875072360500 is a wasteful number, since it uses less digits than its factorization.

564875072360500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375291 (or 375279 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 58.

The spelling of 564875072360500 in words is "five hundred sixty-four trillion, eight hundred seventy-five billion, seventy-two million, three hundred sixty thousand, five hundred".