261336886272 has 1760 divisors, whose sum is σ = 1078567902720. Its totient is φ = 60940615680.

The previous prime is 261336886271. The next prime is 261336886273. The reversal of 261336886272 is 272688633162.

261336886272 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 3 + 6 + 8 + 8 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (261336886271) and next prime (261336886273).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (261336886271) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3148637143 + ... + 3148637225.

It is an arithmetic number, because the mean of its divisors is an integer number (612822672).

Almost surely, 2^261336886272 is an apocalyptic number.

261336886272 is a gapful number since it is divisible by the number (22) 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 261336886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539283951360).

261336886272 is an abundant number, since it is smaller than the sum of its proper divisors (817231016448).

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

261336886272 is a wasteful number, since it uses less digits than its factorization.

261336886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 261336886272 in words is "two hundred sixty-one billion, three hundred thirty-six million, eight hundred eighty-six thousand, two hundred seventy-two".