261305820048 has 320 divisors, whose sum is σ = 864114470912. Its totient is φ = 66206730240.

The previous prime is 261305820029. The next prime is 261305820101. The reversal of 261305820048 is 840028503162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 261305819988 and 261305820015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11445861 + ... + 11468667.

Almost surely, 2^261305820048 is an apocalyptic number.

261305820048 is a gapful number since it is divisible by the number (28) 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 261305820048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432057235456).

261305820048 is an abundant number, since it is smaller than the sum of its proper divisors (602808650864).

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

261305820048 is a wasteful number, since it uses less digits than its factorization.

261305820048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22942 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 261305820048 in words is "two hundred sixty-one billion, three hundred five million, eight hundred twenty thousand, forty-eight".