995785491686400 has 1584 divisors, whose sum is σ = 3677286567485440. Its totient is φ = 257377488076800.

The previous prime is 995785491686399. The next prime is 995785491686483. The reversal of 995785491686400 is 4686194587599.

995785491686400 is a `hidden beast` number, since 9 + 9 + 5 + 7 + 8 + 5 + 49 + 168 + 6 + 400 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 995785491686400.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224225508180 + ... + 224225512620.

Almost surely, 2^{995785491686400} is an apocalyptic number.

995785491686400 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 995785491686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838643283742720).

995785491686400 is an abundant number, since it is smaller than the sum of its proper divisors (2681501075799040).

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

995785491686400 is a wasteful number, since it uses less digits than its factorization.

995785491686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 995785491686400 in words is "nine hundred ninety-five trillion, seven hundred eighty-five billion, four hundred ninety-one million, six hundred eighty-six thousand, four hundred".