261617030448000 has 1024 divisors, whose sum is σ = 946993641984000. Its totient is φ = 63637423718400.

The previous prime is 261617030447957. The next prime is 261617030448017. The reversal of 261617030448000 is 844030716162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9706402524 + ... + 9706429476.

It is an arithmetic number, because the mean of its divisors is an integer number (924798478500).

Almost surely, 2^{261617030448000} is an apocalyptic number.

261617030448000 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 261617030448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473496820992000).

261617030448000 is an abundant number, since it is smaller than the sum of its proper divisors (685376611536000).

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

261617030448000 is a wasteful number, since it uses less digits than its factorization.

261617030448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27400 (or 27378 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 261617030448000 in words is "two hundred sixty-one trillion, six hundred seventeen billion, thirty million, four hundred forty-eight thousand".