27949152400 has 135 divisors (see below), whose sum is σ = 72823637259. Its totient is φ = 10303637760.

The previous prime is 27949152383. The next prime is 27949152401. The reversal of 27949152400 is 425194972.

The square root of 27949152400 is 167180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7203935376 + 20745217024 = 84876^2 + 144032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27949152401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43466479 + ... + 43467121.

Almost surely, 2^27949152400 is an apocalyptic number.

27949152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27949152400 is the 167180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27949152400

27949152400 is an abundant number, since it is smaller than the sum of its proper divisors (44874484859).

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

27949152400 is an equidigital number, since it uses as much as digits as its factorization.

27949152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 27949152400 in words is "twenty-seven billion, nine hundred forty-nine million, one hundred fifty-two thousand, four hundred".