260172107422224 has 320 divisors, whose sum is σ = 787295709849600. Its totient is φ = 73432530395136.

The previous prime is 260172107422219. The next prime is 260172107422261. The reversal of 260172107422224 is 422224701271062.

It is a happy 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, 46941802 + ... + 52190774.

It is an arithmetic number, because the mean of its divisors is an integer number (2460299093280).

Almost surely, 2^{260172107422224} is an apocalyptic number.

260172107422224 is a gapful number since it is divisible by the number (24) 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 260172107422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393647854924800).

260172107422224 is an abundant number, since it is smaller than the sum of its proper divisors (527123602427376).

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

260172107422224 is a wasteful number, since it uses less digits than its factorization.

260172107422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249182 (or 5249176 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

Adding to 260172107422224 its reverse (422224701271062), we get a palindrome (682396808693286).

The spelling of 260172107422224 in words is "two hundred sixty trillion, one hundred seventy-two billion, one hundred seven million, four hundred twenty-two thousand, two hundred twenty-four".