27225601650 has 144 divisors (see below), whose sum is σ = 81489549960. Its totient is φ = 6470553600.

The previous prime is 27225601649. The next prime is 27225601729. The reversal of 27225601650 is 5610652272.

27225601650 is a `hidden beast` number, since 27 + 2 + 25 + 601 + 6 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 922276161 + 26303325489 = 30369^2 + 162183^2 .

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 89410 + ... + 249890.

Almost surely, 2^27225601650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27225601650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40744774980).

27225601650 is an abundant number, since it is smaller than the sum of its proper divisors (54263948310).

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

27225601650 is a wasteful number, since it uses less digits than its factorization.

27225601650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160541 (or 160533 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 27225601650 in words is "twenty-seven billion, two hundred twenty-five million, six hundred one thousand, six hundred fifty".