27431648870400 has 720 divisors, whose sum is σ = 101581600583680. Its totient is φ = 7257135513600.

The previous prime is 27431648870303. The next prime is 27431648870411. The reversal of 27431648870400 is 407884613472.

27431648870400 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 164 + 8 + 8 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1404508635 + ... + 1404528165.

Almost surely, 2^{27431648870400} is an apocalyptic number.

27431648870400 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 27431648870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50790800291840).

27431648870400 is an abundant number, since it is smaller than the sum of its proper divisors (74149951713280).

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

27431648870400 is a wasteful number, since it uses less digits than its factorization.

27431648870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19705 (or 19668 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 27431648870400 in words is "twenty-seven trillion, four hundred thirty-one billion, six hundred forty-eight million, eight hundred seventy thousand, four hundred".