260811605600 has 576 divisors, whose sum is σ = 815027834880. Its totient is φ = 79277875200.

The previous prime is 260811605563. The next prime is 260811605603. The reversal of 260811605600 is 6506118062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260811605603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367858046 + ... + 367858754.

It is an arithmetic number, because the mean of its divisors is an integer number (1414978880).

Almost surely, 2^260811605600 is an apocalyptic number.

260811605600 is a gapful number since it is divisible by the number (20) 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 260811605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407513917440).

260811605600 is an abundant number, since it is smaller than the sum of its proper divisors (554216229280).

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

260811605600 is a wasteful number, since it uses less digits than its factorization.

260811605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 260811605600 in words is "two hundred sixty billion, eight hundred eleven million, six hundred five thousand, six hundred".