961196544000 has 3120 divisors, whose sum is σ = 4653242358336. Its totient is φ = 195084288000.

The previous prime is 961196543987. The next prime is 961196544097. The reversal of 961196544000 is 445691169.

It is a happy number.

961196544000 is a `hidden beast` number, since 9 + 6 + 1 + 196 + 54 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22353407979 + ... + 22353408021.

Almost surely, 2^961196544000 is an apocalyptic number.

961196544000 is a gapful number since it is divisible by the number (90) 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 961196544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326621179168).

961196544000 is an abundant number, since it is smaller than the sum of its proper divisors (3692045814336).

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

961196544000 is a wasteful number, since it uses less digits than its factorization.

961196544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 961196544000 in words is "nine hundred sixty-one billion, one hundred ninety-six million, five hundred forty-four thousand".