261562726143000 has 384 divisors, whose sum is σ = 922784058218880. Its totient is φ = 66698378419200.

The previous prime is 261562726142969. The next prime is 261562726143079. The reversal of 261562726143000 is 341627265162.

261562726143000 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 6 + 27 + 2 + 614 + 3 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 731152174 + ... + 731509826.

It is an arithmetic number, because the mean of its divisors is an integer number (2403083484945).

Almost surely, 2^{261562726143000} is an apocalyptic number.

261562726143000 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 261562726143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461392029109440).

261562726143000 is an abundant number, since it is smaller than the sum of its proper divisors (661221332075880).

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

261562726143000 is a wasteful number, since it uses less digits than its factorization.

261562726143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361236 (or 361219 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 261562726143000 in words is "two hundred sixty-one trillion, five hundred sixty-two billion, seven hundred twenty-six million, one hundred forty-three thousand".