27205004800 has 480 divisors, whose sum is σ = 76354755840. Its totient is φ = 9555148800.

The previous prime is 27205004759. The next prime is 27205004803. The reversal of 27205004800 is 840050272.

It is a super-2 number, since 2×27205004800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27205004803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249587146 + ... + 249587254.

It is an arithmetic number, because the mean of its divisors is an integer number (159072408).

Almost surely, 2^27205004800 is an apocalyptic number.

27205004800 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 27205004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38177377920).

27205004800 is an abundant number, since it is smaller than the sum of its proper divisors (49149751040).

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

27205004800 is a wasteful number, since it uses less digits than its factorization.

27205004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 27205004800 in words is "twenty-seven billion, two hundred five million, four thousand, eight hundred".