564541316355100 has 144 divisors (see below), whose sum is σ = 1419770842475328. Its totient is φ = 190850112552960.

The previous prime is 564541316355089. The next prime is 564541316355113. The reversal of 564541316355100 is 1553613145465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3223489 + ... + 33756088.

It is an arithmetic number, because the mean of its divisors is an integer number (9859519739412).

Almost surely, 2^{564541316355100} is an apocalyptic number.

564541316355100 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 564541316355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709885421237664).

564541316355100 is an abundant number, since it is smaller than the sum of its proper divisors (855229526120228).

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

564541316355100 is a wasteful number, since it uses less digits than its factorization.

564541316355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36979904 (or 36979897 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 49.

The spelling of 564541316355100 in words is "five hundred sixty-four trillion, five hundred forty-one billion, three hundred sixteen million, three hundred fifty-five thousand, one hundred".