27929005344100 has 243 divisors, whose sum is σ = 74908709350209. Its totient is φ = 9010355558400.

The previous prime is 27929005344089. The next prime is 27929005344103. The reversal of 27929005344100 is 144350092972.

The square root of 27929005344100 is 5284790.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12890555676964 + 15038449667136 = 3590342^2 + 3877944^2 .

It is not an unprimeable number, because it can be changed into a prime (27929005344103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6288897880 + ... + 6288902320.

Almost surely, 2^{27929005344100} is an apocalyptic number.

27929005344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27929005344100 is the 5284790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27929005344100

27929005344100 is an abundant number, since it is smaller than the sum of its proper divisors (46979704006109).

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

27929005344100 is an equidigital number, since it uses as much as digits as its factorization.

27929005344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8944 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 27929005344100 in words is "twenty-seven trillion, nine hundred twenty-nine billion, five million, three hundred forty-four thousand, one hundred".