260551617144 has 256 divisors, whose sum is σ = 827192217600. Its totient is φ = 66564605952.

The previous prime is 260551617143. The next prime is 260551617203. The reversal of 260551617144 is 441716155062.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 260551617096 and 260551617105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260551617143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9130162 + ... + 9158654.

It is an arithmetic number, because the mean of its divisors is an integer number (3231219600).

Almost surely, 2^260551617144 is an apocalyptic number.

260551617144 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 260551617144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413596108800).

260551617144 is an abundant number, since it is smaller than the sum of its proper divisors (566640600456).

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

260551617144 is a wasteful number, since it uses less digits than its factorization.

260551617144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28654 (or 28650 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 260551617144 in words is "two hundred sixty billion, five hundred fifty-one million, six hundred seventeen thousand, one hundred forty-four".