27807872400 has 1440 divisors, whose sum is σ = 133463064960. Its totient is φ = 5419008000.

The previous prime is 27807872399. The next prime is 27807872429. The reversal of 27807872400 is 427870872.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 98960260 + ... + 98960540.

It is an arithmetic number, because the mean of its divisors is an integer number (92682684).

Almost surely, 2^27807872400 is an apocalyptic number.

27807872400 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 27807872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66731532480).

27807872400 is an abundant number, since it is smaller than the sum of its proper divisors (105655192560).

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

27807872400 is a wasteful number, since it uses less digits than its factorization.

27807872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 27807872400 in words is "twenty-seven billion, eight hundred seven million, eight hundred seventy-two thousand, four hundred".