995820121656 has 96 divisors (see below), whose sum is σ = 2798238643200. Its totient is φ = 331781430240.

The previous prime is 995820121651. The next prime is 995820121657. The reversal of 995820121656 is 656121028599.

995820121656 is a `hidden beast` number, since 9 + 9 + 582 + 0 + 1 + 2 + 1 + 6 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (995820121651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3982455 + ... + 4225113.

It is an arithmetic number, because the mean of its divisors is an integer number (29148319200).

Almost surely, 2^995820121656 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 995820121656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399119321600).

995820121656 is an abundant number, since it is smaller than the sum of its proper divisors (1802418521544).

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

995820121656 is a wasteful number, since it uses less digits than its factorization.

995820121656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244791 (or 244775 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 995820121656 in words is "nine hundred ninety-five billion, eight hundred twenty million, one hundred twenty-one thousand, six hundred fifty-six".