27208972800 has 720 divisors, whose sum is σ = 106068568320. Its totient is φ = 6635520000.

The previous prime is 27208972733. The next prime is 27208972801. The reversal of 27208972800 is 827980272.

It is a happy number.

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

It is a super-2 number, since 2×27208972800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27208972801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67852600 + ... + 67853000.

It is an arithmetic number, because the mean of its divisors is an integer number (147317456).

Almost surely, 2^27208972800 is an apocalyptic number.

27208972800 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 27208972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53034284160).

27208972800 is an abundant number, since it is smaller than the sum of its proper divisors (78859595520).

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

27208972800 is a wasteful number, since it uses less digits than its factorization.

27208972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27208972800 in words is "twenty-seven billion, two hundred eight million, nine hundred seventy-two thousand, eight hundred".