261676125726300 has 216 divisors, whose sum is σ = 826580796193152. Its totient is φ = 69238377936000.

The previous prime is 261676125726287. The next prime is 261676125726361. The reversal of 261676125726300 is 3627521676162.

261676125726300 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 7 + 6 + 1 + 2 + 572 + 63 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 906152935 + ... + 906441665.

Almost surely, 2^{261676125726300} is an apocalyptic number.

261676125726300 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 261676125726300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413290398096576).

261676125726300 is an abundant number, since it is smaller than the sum of its proper divisors (564904670466852).

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

261676125726300 is a wasteful number, since it uses less digits than its factorization.

261676125726300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296569 (or 296559 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 261676125726300 in words is "two hundred sixty-one trillion, six hundred seventy-six billion, one hundred twenty-five million, seven hundred twenty-six thousand, three hundred".