261025061806080 has 1344 divisors, whose sum is σ = 1087749820789632. Its totient is φ = 57052307128320.

The previous prime is 261025061806073. The next prime is 261025061806121. The reversal of 261025061806080 is 80608160520162.

261025061806080 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 2 + 506 + 1 + 8 + 0 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2266709784 + ... + 2266824936.

It is an arithmetic number, because the mean of its divisors is an integer number (809337664278).

Almost surely, 2^{261025061806080} is an apocalyptic number.

261025061806080 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 261025061806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543874910394816).

261025061806080 is an abundant number, since it is smaller than the sum of its proper divisors (826724758983552).

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

261025061806080 is a wasteful number, since it uses less digits than its factorization.

261025061806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115257 (or 115230 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 261025061806080 in words is "two hundred sixty-one trillion, twenty-five billion, sixty-one million, eight hundred six thousand, eighty".