27957233251600 has 135 divisors (see below), whose sum is σ = 67430727854469. Its totient is φ = 11139197731200.

The previous prime is 27957233251553. The next prime is 27957233251621. The reversal of 27957233251600 is 615233275972.

The square root of 27957233251600 is 5287460.

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., 10064603970576 + 17892629281024 = 3172476^2 + 4229968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48961879315 + ... + 48961879885.

Almost surely, 2^{27957233251600} is an apocalyptic number.

27957233251600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27957233251600 is the 5287460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27957233251600

27957233251600 is an abundant number, since it is smaller than the sum of its proper divisors (39473494602869).

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

27957233251600 is an frugal number, since it uses more digits than its factorization.

27957233251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 27957233251600 in words is "twenty-seven trillion, nine hundred fifty-seven billion, two hundred thirty-three million, two hundred fifty-one thousand, six hundred".