27245400400 has 60 divisors (see below), whose sum is σ = 65630149600. Its totient is φ = 10869344640.

The previous prime is 27245400397. The next prime is 27245400407. The reversal of 27245400400 is 400454272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27245400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61741 + ... + 241459.

Almost surely, 2^27245400400 is an apocalyptic number.

27245400400 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 27245400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32815074800).

27245400400 is an abundant number, since it is smaller than the sum of its proper divisors (38384749200).

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

27245400400 is a wasteful number, since it uses less digits than its factorization.

27245400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180116 (or 180105 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

Adding to 27245400400 its reverse (400454272), we get a palindrome (27645854672).

The spelling of 27245400400 in words is "twenty-seven billion, two hundred forty-five million, four hundred thousand, four hundred".