27403798800 has 540 divisors, whose sum is σ = 107856351216. Its totient is φ = 5929459200.

The previous prime is 27403798769. The next prime is 27403798801. The reversal of 27403798800 is 889730472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27403798800.

It is not an unprimeable number, because it can be changed into a prime (27403798801) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 21226155 + ... + 21227445.

Almost surely, 2^27403798800 is an apocalyptic number.

27403798800 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 27403798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53928175608).

27403798800 is an abundant number, since it is smaller than the sum of its proper divisors (80452552416).

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

27403798800 is a wasteful number, since it uses less digits than its factorization.

27403798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 27403798800 in words is "twenty-seven billion, four hundred three million, seven hundred ninety-eight thousand, eight hundred".