261893725067520 has 1728 divisors, whose sum is σ = 1121367987177984. Its totient is φ = 54953571778560.

The previous prime is 261893725067519. The next prime is 261893725067629. The reversal of 261893725067520 is 25760527398162.

261893725067520 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 9 + 3 + 72 + 506 + 7 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223649636535 + ... + 223649637705.

Almost surely, 2^{261893725067520} is an apocalyptic number.

261893725067520 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 261893725067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560683993588992).

261893725067520 is an abundant number, since it is smaller than the sum of its proper divisors (859474262110464).

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

261893725067520 is a wasteful number, since it uses less digits than its factorization.

261893725067520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 261893725067520 in words is "two hundred sixty-one trillion, eight hundred ninety-three billion, seven hundred twenty-five million, sixty-seven thousand, five hundred twenty".