261754675732480 has 896 divisors, whose sum is σ = 764161417267200. Its totient is φ = 84169967271936.

The previous prime is 261754675732399. The next prime is 261754675732519. The reversal of 261754675732480 is 84237576457162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

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, 53539509876 + ... + 53539514764.

Almost surely, 2^{261754675732480} is an apocalyptic number.

261754675732480 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 261754675732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382080708633600).

261754675732480 is an abundant number, since it is smaller than the sum of its proper divisors (502406741534720).

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

261754675732480 is a wasteful number, since it uses less digits than its factorization.

261754675732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 67.

The spelling of 261754675732480 in words is "two hundred sixty-one trillion, seven hundred fifty-four billion, six hundred seventy-five million, seven hundred thirty-two thousand, four hundred eighty".