27998265600 has 756 divisors, whose sum is σ = 110326165236. Its totient is φ = 7007109120.

The previous prime is 27998265577. The next prime is 27998265601. The reversal of 27998265600 is 656289972.

27998265600 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 8 + 26 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47775744 + 27950489856 = 6912^2 + 167184^2 .

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 (27998265601) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 79315024 + ... + 79315376.

It is an arithmetic number, because the mean of its divisors is an integer number (145934081).

Almost surely, 2^27998265600 is an apocalyptic number.

27998265600 is a gapful number since it is divisible by the number (20) 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 27998265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55163082618).

27998265600 is an abundant number, since it is smaller than the sum of its proper divisors (82327899636).

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

27998265600 is an equidigital number, since it uses as much as digits as its factorization.

27998265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 27998265600 in words is "twenty-seven billion, nine hundred ninety-eight million, two hundred sixty-five thousand, six hundred".