27479692900 has 135 divisors (see below), whose sum is σ = 66075899995. Its totient is φ = 9919676800.

The previous prime is 27479692897. The next prime is 27479692901. The reversal of 27479692900 is 929697472.

The square root of 27479692900 is 165770.

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 80174116 + 27399518784 = 8954^2 + 165528^2 .

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

It is not an unprimeable number, because it can be changed into a prime (27479692901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 200581632 + ... + 200581768.

Almost surely, 2^27479692900 is an apocalyptic number.

27479692900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27479692900 is the 165770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27479692900

27479692900 is an abundant number, since it is smaller than the sum of its proper divisors (38596207095).

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

27479692900 is an equidigital number, since it uses as much as digits as its factorization.

27479692900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 55.

The spelling of 27479692900 in words is "twenty-seven billion, four hundred seventy-nine million, six hundred ninety-two thousand, nine hundred".