261805713600 has 336 divisors, whose sum is σ = 889124520960. Its totient is φ = 67374182400.

The previous prime is 261805713571. The next prime is 261805713671. The reversal of 261805713600 is 6317508162.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57880939 + ... + 57885461.

Almost surely, 2^261805713600 is an apocalyptic number.

261805713600 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 261805713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444562260480).

261805713600 is an abundant number, since it is smaller than the sum of its proper divisors (627318807360).

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

261805713600 is a wasteful number, since it uses less digits than its factorization.

261805713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 261805713600 in words is "two hundred sixty-one billion, eight hundred five million, seven hundred thirteen thousand, six hundred".