261883157760 has 648 divisors, whose sum is σ = 1076556289536. Its totient is φ = 58579476480.

The previous prime is 261883157759. The next prime is 261883157791. The reversal of 261883157760 is 67751388162.

It is a happy number.

261883157760 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 8 + 3 + 1 + 577 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 261883157697 and 261883157706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26525625 + ... + 26535495.

Almost surely, 2^261883157760 is an apocalyptic number.

261883157760 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 261883157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538278144768).

261883157760 is an abundant number, since it is smaller than the sum of its proper divisors (814673131776).

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

261883157760 is a wasteful number, since it uses less digits than its factorization.

261883157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 261883157760 in words is "two hundred sixty-one billion, eight hundred eighty-three million, one hundred fifty-seven thousand, seven hundred sixty".