27354732134400 has 1440 divisors, whose sum is σ = 111422165556240. Its totient is φ = 6629503795200.

The previous prime is 27354732134393. The next prime is 27354732134419. The reversal of 27354732134400 is 443123745372.

27354732134400 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 473 + 2 + 134 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8028977497 + ... + 8028980903.

Almost surely, 2^{27354732134400} is an apocalyptic number.

27354732134400 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 27354732134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55711082778120).

27354732134400 is an abundant number, since it is smaller than the sum of its proper divisors (84067433421840).

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

27354732134400 is an equidigital number, since it uses as much as digits as its factorization.

27354732134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

Adding to 27354732134400 its reverse (443123745372), we get a palindrome (27797855879772).

The spelling of 27354732134400 in words is "twenty-seven trillion, three hundred fifty-four billion, seven hundred thirty-two million, one hundred thirty-four thousand, four hundred".