27424027400 has 192 divisors, whose sum is σ = 79613297280. Its totient is φ = 8534937600.

The previous prime is 27424027369. The next prime is 27424027409. The reversal of 27424027400 is 472042472.

It is not an unprimeable number, because it can be changed into a prime (27424027409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19973114 + ... + 19974486.

It is an arithmetic number, because the mean of its divisors is an integer number (414652590).

Almost surely, 2^27424027400 is an apocalyptic number.

27424027400 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 27424027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39806648640).

27424027400 is an abundant number, since it is smaller than the sum of its proper divisors (52189269880).

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

27424027400 is a wasteful number, since it uses less digits than its factorization.

27424027400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 32.

Adding to 27424027400 its reverse (472042472), we get a palindrome (27896069872).

The spelling of 27424027400 in words is "twenty-seven billion, four hundred twenty-four million, twenty-seven thousand, four hundred".