260900999744 has 224 divisors, whose sum is σ = 713165285376. Its totient is φ = 91510087680.

The previous prime is 260900999743. The next prime is 260900999783. The reversal of 260900999744 is 447999009062.

260900999744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (260900999743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1859147 + ... + 1994549.

Almost surely, 2^260900999744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260900999744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356582642688).

260900999744 is an abundant number, since it is smaller than the sum of its proper divisors (452264285632).

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

260900999744 is a wasteful number, since it uses less digits than its factorization.

260900999744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135473 (or 135463 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 59.

The spelling of 260900999744 in words is "two hundred sixty billion, nine hundred million, nine hundred ninety-nine thousand, seven hundred forty-four".