996555571200 has 1350 divisors, whose sum is σ = 4301569776966. Its totient is φ = 227412541440.

The previous prime is 996555571159. The next prime is 996555571223. The reversal of 996555571200 is 2175555699.

996555571200 is a `hidden beast` number, since 9 + 9 + 65 + 5 + 5 + 571 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12745506816 + 983810064384 = 112896^2 + 991872^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1625702094 + ... + 1625702706.

Almost surely, 2^996555571200 is an apocalyptic number.

996555571200 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 996555571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150784888483).

996555571200 is an abundant number, since it is smaller than the sum of its proper divisors (3305014205766).

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

996555571200 is an equidigital number, since it uses as much as digits as its factorization.

996555571200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

The spelling of 996555571200 in words is "nine hundred ninety-six billion, five hundred fifty-five million, five hundred seventy-one thousand, two hundred".