27887188820400 has 1440 divisors, whose sum is σ = 124056517731840. Its totient is φ = 5825364480000.

The previous prime is 27887188820341. The next prime is 27887188820401. The reversal of 27887188820400 is 402888178872.

27887188820400 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 71 + 88 + 82 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27887188820401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1290405595 + ... + 1290427205.

It is an arithmetic number, because the mean of its divisors is an integer number (86150359536).

Almost surely, 2^{27887188820400} is an apocalyptic number.

27887188820400 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 27887188820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62028258865920).

27887188820400 is an abundant number, since it is smaller than the sum of its proper divisors (96169328911440).

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

27887188820400 is a wasteful number, since it uses less digits than its factorization.

27887188820400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772 (or 21742 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 63.

The spelling of 27887188820400 in words is "twenty-seven trillion, eight hundred eighty-seven billion, one hundred eighty-eight million, eight hundred twenty thousand, four hundred".