997278105600 has 810 divisors, whose sum is σ = 4156358360154. Its totient is φ = 227907993600.

The previous prime is 997278105599. The next prime is 997278105619. The reversal of 997278105600 is 6501872799.

997278105600 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 78 + 1 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18793119744 + 978484985856 = 137088^2 + 989184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 180630840 + ... + 180636360.

Almost surely, 2^997278105600 is an apocalyptic number.

997278105600 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 997278105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078179180077).

997278105600 is an abundant number, since it is smaller than the sum of its proper divisors (3159080254554).

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

997278105600 is a wasteful number, since it uses less digits than its factorization.

997278105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 997278105600 in words is "nine hundred ninety-seven billion, two hundred seventy-eight million, one hundred five thousand, six hundred".