261201702558720 has 2816 divisors, whose sum is σ = 1104241035313152. Its totient is φ = 51127690199040.

The previous prime is 261201702558707. The next prime is 261201702558749. The reversal of 261201702558720 is 27855207102162.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 261201702558720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 238976854494 + ... + 238976855586.

It is an arithmetic number, because the mean of its divisors is an integer number (392131049472).

Almost surely, 2^{261201702558720} is an apocalyptic number.

261201702558720 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 261201702558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552120517656576).

261201702558720 is an abundant number, since it is smaller than the sum of its proper divisors (843039332754432).

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

261201702558720 is a wasteful number, since it uses less digits than its factorization.

261201702558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 261201702558720 in words is "two hundred sixty-one trillion, two hundred one billion, seven hundred two million, five hundred fifty-eight thousand, seven hundred twenty".