27870058224100 has 27 divisors (see below), whose sum is σ = 60478140905371. Its totient is φ = 11148002172800.

The previous prime is 27870058224061. The next prime is 27870058224103. The reversal of 27870058224100 is 142285007872.

It is a happy number.

The square root of 27870058224100 is 5279210.

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 1021825809316 + 26848232414784 = 1010854^2 + 5181528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27870058224103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52528140 + ... + 53056060.

Almost surely, 2^{27870058224100} is an apocalyptic number.

27870058224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27870058224100 is the 5279210-th square number.

It is an amenable number.

27870058224100 is an abundant number, since it is smaller than the sum of its proper divisors (32608082681271).

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

27870058224100 is an frugal number, since it uses more digits than its factorization.

27870058224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055856 (or 527928 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 46.

The spelling of 27870058224100 in words is "twenty-seven trillion, eight hundred seventy billion, fifty-eight million, two hundred twenty-four thousand, one hundred".