959261420800 has 432 divisors, whose sum is σ = 2731850150400. Its totient is φ = 331068211200.

The previous prime is 959261420753. The next prime is 959261420801. The reversal of 959261420800 is 8024162959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (959261420801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64075716 + ... + 64090684.

It is an arithmetic number, because the mean of its divisors is an integer number (6323727200).

Almost surely, 2^959261420800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959261420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365925075200).

959261420800 is an abundant number, since it is smaller than the sum of its proper divisors (1772588729600).

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

959261420800 is a wasteful number, since it uses less digits than its factorization.

959261420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15062 (or 15043 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 959261420800 in words is "nine hundred fifty-nine billion, two hundred sixty-one million, four hundred twenty thousand, eight hundred".