27450410000 has 200 divisors, whose sum is σ = 75788758584. Its totient is φ = 9538560000.

The previous prime is 27450409993. The next prime is 27450410011. The reversal of 27450410000 is 1405472.

It can be written as a sum of positive squares in 20 ways, for example, as 23967993856 + 3482416144 = 154816^2 + 59012^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2203790 + ... + 2216210.

Almost surely, 2^27450410000 is an apocalyptic number.

27450410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27450410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37894379292).

27450410000 is an abundant number, since it is smaller than the sum of its proper divisors (48338348584).

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

27450410000 is a wasteful number, since it uses less digits than its factorization.

27450410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12479 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

Adding to 27450410000 its reverse (1405472), we get a palindrome (27451815472).

The spelling of 27450410000 in words is "twenty-seven billion, four hundred fifty million, four hundred ten thousand".