261087818892480 has 1120 divisors, whose sum is σ = 942407706240000. Its totient is φ = 68608420208640.

The previous prime is 261087818892419. The next prime is 261087818892583. The reversal of 261087818892480 is 84298818780162.

261087818892480 is a `hidden beast` number, since 2 + 61 + 0 + 8 + 7 + 8 + 1 + 8 + 89 + 2 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 261087818892399 and 261087818892408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435872819221 + ... + 435872819819.

It is an arithmetic number, because the mean of its divisors is an integer number (841435452000).

Almost surely, 2^{261087818892480} is an apocalyptic number.

261087818892480 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 261087818892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471203853120000).

261087818892480 is an abundant number, since it is smaller than the sum of its proper divisors (681319887347520).

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

261087818892480 is a wasteful number, since it uses less digits than its factorization.

261087818892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 261087818892480 in words is "two hundred sixty-one trillion, eighty-seven billion, eight hundred eighteen million, eight hundred ninety-two thousand, four hundred eighty".