996025161772800 has 864 divisors, whose sum is σ = 3869321382581760. Its totient is φ = 249843415449600.

The previous prime is 996025161772789. The next prime is 996025161772843. The reversal of 996025161772800 is 8277161520699.

996025161772800 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 2 + 5 + 1 + 617 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×996025161772800² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5319899989 + ... + 5320087211.

It is an arithmetic number, because the mean of its divisors is an integer number (4478381229840).

Almost surely, 2^{996025161772800} is an apocalyptic number.

996025161772800 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 996025161772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934660691290880).

996025161772800 is an abundant number, since it is smaller than the sum of its proper divisors (2873296220808960).

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

996025161772800 is a wasteful number, since it uses less digits than its factorization.

996025161772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189086 (or 189061 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 996025161772800 in words is "nine hundred ninety-six trillion, twenty-five billion, one hundred sixty-one million, seven hundred seventy-two thousand, eight hundred".