260993243448 has 320 divisors, whose sum is σ = 850116960000. Its totient is φ = 73266716160.

The previous prime is 260993243389. The next prime is 260993243477. The reversal of 260993243448 is 844342399062.

260993243448 is a `hidden beast` number, since 2 + 609 + 9 + 3 + 24 + 3 + 4 + 4 + 8 = 666.

It is a super-3 number, since 3×260993243448³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 260993243394 and 260993243403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151651228 + ... + 151652948.

It is an arithmetic number, because the mean of its divisors is an integer number (2656615500).

Almost surely, 2^260993243448 is an apocalyptic number.

260993243448 is a gapful number since it is divisible by the number (28) 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 260993243448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425058480000).

260993243448 is an abundant number, since it is smaller than the sum of its proper divisors (589123716552).

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

260993243448 is a wasteful number, since it uses less digits than its factorization.

260993243448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 260993243448 in words is "two hundred sixty billion, nine hundred ninety-three million, two hundred forty-three thousand, four hundred forty-eight".