961126328769600 has 2688 divisors, whose sum is σ = 4032716152504320. Its totient is φ = 195346317312000.

The previous prime is 961126328769587. The next prime is 961126328769661. The reversal of 961126328769600 is 6967823621169.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 398642192395 + ... + 398642194805.

Almost surely, 2^{961126328769600} 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 961126328769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016358076252160).

961126328769600 is an abundant number, since it is smaller than the sum of its proper divisors (3071589823734720).

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

961126328769600 is a wasteful number, since it uses less digits than its factorization.

961126328769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 961126328769600 in words is "nine hundred sixty-one trillion, one hundred twenty-six billion, three hundred twenty-eight million, seven hundred sixty-nine thousand, six hundred".