27372882248100 has 243 divisors, whose sum is σ = 87026632831593. Its totient is φ = 7196429422080.

The previous prime is 27372882248057. The next prime is 27372882248177. The reversal of 27372882248100 is 184228827372.

The square root of 27372882248100 is 5231910.

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

27372882248100 is a `hidden beast` number, since 2 + 7 + 37 + 288 + 224 + 8 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 22761658562724 + 4611223685376 = 4770918^2 + 2147376^2 .

It is a super-2 number, since 2×27372882248100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11457881706 + ... + 11457884094.

Almost surely, 2^{27372882248100} is an apocalyptic number.

27372882248100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27372882248100 is the 5231910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27372882248100

27372882248100 is an abundant number, since it is smaller than the sum of its proper divisors (59653750583493).

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

27372882248100 is an equidigital number, since it uses as much as digits as its factorization.

27372882248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 27372882248100 in words is "twenty-seven trillion, three hundred seventy-two billion, eight hundred eighty-two million, two hundred forty-eight thousand, one hundred".