260973010944 has 336 divisors, whose sum is σ = 807207448320. Its totient is φ = 84164935680.

The previous prime is 260973010943. The next prime is 260973010967. The reversal of 260973010944 is 449010379062.

It is a happy number.

260973010944 is a `hidden beast` number, since 2 + 609 + 7 + 30 + 1 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×260973010944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 260973010944.

It is not an unprimeable number, because it can be changed into a prime (260973010943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61708222 + ... + 61712450.

It is an arithmetic number, because the mean of its divisors is an integer number (2402403120).

Almost surely, 2^260973010944 is an apocalyptic number.

260973010944 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 260973010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403603724160).

260973010944 is an abundant number, since it is smaller than the sum of its proper divisors (546234437376).

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

260973010944 is an frugal number, since it uses more digits than its factorization.

260973010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 260973010944 in words is "two hundred sixty billion, nine hundred seventy-three million, ten thousand, nine hundred forty-four".