996826152960 has 960 divisors, whose sum is σ = 3957271718400. Its totient is φ = 229763973120.

The previous prime is 996826152953. The next prime is 996826152967. The reversal of 996826152960 is 69251628699.

996826152960 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 2 + 615 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (996826152953) and next prime (996826152967).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996826152967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5969018797 + ... + 5969018963.

It is an arithmetic number, because the mean of its divisors is an integer number (4122158040).

Almost surely, 2^996826152960 is an apocalyptic number.

996826152960 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 996826152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978635859200).

996826152960 is an abundant number, since it is smaller than the sum of its proper divisors (2960445565440).

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

996826152960 is a wasteful number, since it uses less digits than its factorization.

996826152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 996826152960 in words is "nine hundred ninety-six billion, eight hundred twenty-six million, one hundred fifty-two thousand, nine hundred sixty".