961369992000 has 896 divisors, whose sum is σ = 4074323535360. Its totient is φ = 219340800000.

The previous prime is 961369991977. The next prime is 961369992001. The reversal of 961369992000 is 299963169.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961369992001) by changing a digit.

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, 40380100 + ... + 40403900.

Almost surely, 2^961369992000 is an apocalyptic number.

961369992000 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 961369992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037161767680).

961369992000 is an abundant number, since it is smaller than the sum of its proper divisors (3112953543360).

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

961369992000 is a wasteful number, since it uses less digits than its factorization.

961369992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23839 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 961369992000 in words is "nine hundred sixty-one billion, three hundred sixty-nine million, nine hundred ninety-two thousand".