996187380105600 has 6144 divisors, whose sum is σ = 4269738147840000. Its totient is φ = 225453735936000.

The previous prime is 996187380105499. The next prime is 996187380105703. The reversal of 996187380105600 is 6501083781699.

996187380105600 is a `hidden beast` number, since 9 + 9 + 6 + 1 + 8 + 7 + 3 + 8 + 0 + 10 + 5 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7604483817535 + ... + 7604483817665.

It is an arithmetic number, because the mean of its divisors is an integer number (694944360000).

Almost surely, 2^{996187380105600} is an apocalyptic number.

996187380105600 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 996187380105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134869073920000).

996187380105600 is an abundant number, since it is smaller than the sum of its proper divisors (3273550767734400).

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

996187380105600 is a wasteful number, since it uses less digits than its factorization.

996187380105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 996187380105600 in words is "nine hundred ninety-six trillion, one hundred eighty-seven billion, three hundred eighty million, one hundred five thousand, six hundred".