601050100560 has 320 divisors, whose sum is σ = 2332110735360. Its totient is φ = 124665292800.

The previous prime is 601050100543. The next prime is 601050100571. The reversal of 601050100560 is 65001050106.

It is a super-2 number, since 2×601050100560² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 601050100560.

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, 1055335 + ... + 1521785.

It is an arithmetic number, because the mean of its divisors is an integer number (7287846048).

Almost surely, 2^601050100560 is an apocalyptic number.

601050100560 is a gapful number since it is divisible by the number (60) 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 601050100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166055367680).

601050100560 is an abundant number, since it is smaller than the sum of its proper divisors (1731060634800).

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

601050100560 is a wasteful number, since it uses less digits than its factorization.

601050100560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466546 (or 466540 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 601050100560 its reverse (65001050106), we get a palindrome (666051150666).

The spelling of 601050100560 in words is "six hundred one billion, fifty million, one hundred thousand, five hundred sixty".