27052326864300 has 288 divisors, whose sum is σ = 81378791424000. Its totient is φ = 6930960768000.

The previous prime is 27052326864257. The next prime is 27052326864301. The reversal of 27052326864300 is 346862325072.

It is a super-2 number, since 2×27052326864300² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27052326864300.

It is not an unprimeable number, because it can be changed into a prime (27052326864301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3989426910 + ... + 3989433690.

It is an arithmetic number, because the mean of its divisors is an integer number (282565248000).

Almost surely, 2^{27052326864300} is an apocalyptic number.

27052326864300 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 27052326864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40689395712000).

27052326864300 is an abundant number, since it is smaller than the sum of its proper divisors (54326464559700).

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

27052326864300 is a wasteful number, since it uses less digits than its factorization.

27052326864300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 27052326864300 in words is "twenty-seven trillion, fifty-two billion, three hundred twenty-six million, eight hundred sixty-four thousand, three hundred".