27898214400 has 1080 divisors, whose sum is σ = 122022580680. Its totient is φ = 6171033600.

The previous prime is 27898214347. The next prime is 27898214401. The reversal of 27898214400 is 441289872.

27898214400 is a `hidden beast` number, since 27 + 8 + 9 + 8 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27898214401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 899942385 + ... + 899942415.

It is an arithmetic number, because the mean of its divisors is an integer number (112983871).

Almost surely, 2^27898214400 is an apocalyptic number.

27898214400 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 27898214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61011290340).

27898214400 is an abundant number, since it is smaller than the sum of its proper divisors (94124366280).

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

27898214400 is an equidigital number, since it uses as much as digits as its factorization.

27898214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27898214400 in words is "twenty-seven billion, eight hundred ninety-eight million, two hundred fourteen thousand, four hundred".