27557916422400 has 3240 divisors, whose sum is σ = 135183863069640. Its totient is φ = 5471278202880.

The previous prime is 27557916422389. The next prime is 27557916422401. The reversal of 27557916422400 is 422461975572.

It is a happy number.

27557916422400 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 79 + 164 + 2 + 2 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1460694622464 + 26097221799936 = 1208592^2 + 5108544^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is not an unprimeable number, because it can be changed into a prime (27557916422401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5613751146 + ... + 5613756054.

Almost surely, 2^{27557916422400} is an apocalyptic number.

27557916422400 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 27557916422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67591931534820).

27557916422400 is an abundant number, since it is smaller than the sum of its proper divisors (107625946647240).

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

27557916422400 is a wasteful number, since it uses less digits than its factorization.

27557916422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 27557916422400 in words is "twenty-seven trillion, five hundred fifty-seven billion, nine hundred sixteen million, four hundred twenty-two thousand, four hundred".