261900633758976 has 216 divisors, whose sum is σ = 755671723779336. Its totient is φ = 87236924866560.

The previous prime is 261900633758947. The next prime is 261900633758983. The reversal of 261900633758976 is 679857336009162.

261900633758976 is a `hidden beast` number, since 2 + 6 + 1 + 9 + 0 + 0 + 6 + 3 + 37 + 589 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139816166400 + 261760817592576 = 373920^2 + 16179024^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31811077356 + ... + 31811085588.

Almost surely, 2^{261900633758976} 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 261900633758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377835861889668).

261900633758976 is an abundant number, since it is smaller than the sum of its proper divisors (493771090020360).

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

261900633758976 is a wasteful number, since it uses less digits than its factorization.

261900633758976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16589 (or 16572 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 261900633758976 in words is "two hundred sixty-one trillion, nine hundred billion, six hundred thirty-three million, seven hundred fifty-eight thousand, nine hundred seventy-six".