27246625228900 has 243 divisors, whose sum is σ = 75610405589817. Its totient is φ = 8491201857600.

The previous prime is 27246625228883. The next prime is 27246625228919. The reversal of 27246625228900 is 982252664272.

The square root of 27246625228900 is 5219830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9808785082404 + 17437840146496 = 3131898^2 + 4175864^2 .

It is a super-3 number, since 3×27246625228900³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4019265711 + ... + 4019272489.

Almost surely, 2^{27246625228900} is an apocalyptic number.

27246625228900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27246625228900 is the 5219830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27246625228900

27246625228900 is an abundant number, since it is smaller than the sum of its proper divisors (48363780360917).

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

27246625228900 is an equidigital number, since it uses as much as digits as its factorization.

27246625228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 27246625228900 in words is "twenty-seven trillion, two hundred forty-six billion, six hundred twenty-five million, two hundred twenty-eight thousand, nine hundred".