261553325120 has 224 divisors, whose sum is σ = 661422827520. Its totient is φ = 98240256000.

The previous prime is 261553325051. The next prime is 261553325141. The reversal of 261553325120 is 21523355162.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560071127 + ... + 560071593.

It is an arithmetic number, because the mean of its divisors is an integer number (2952780480).

Almost surely, 2^261553325120 is an apocalyptic number.

261553325120 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 261553325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330711413760).

261553325120 is an abundant number, since it is smaller than the sum of its proper divisors (399869502400).

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

261553325120 is a wasteful number, since it uses less digits than its factorization.

261553325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 261553325120 in words is "two hundred sixty-one billion, five hundred fifty-three million, three hundred twenty-five thousand, one hundred twenty".