27006145600 has 672 divisors, whose sum is σ = 85583450880. Its totient is φ = 8174960640.

The previous prime is 27006145567. The next prime is 27006145603. The reversal of 27006145600 is 654160072.

27006145600 = 19198² + 19199² + ... + 19270².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27006145603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369947164 + ... + 369947236.

Almost surely, 2^27006145600 is an apocalyptic number.

27006145600 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 27006145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42791725440).

27006145600 is an abundant number, since it is smaller than the sum of its proper divisors (58577305280).

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

27006145600 is a wasteful number, since it uses less digits than its factorization.

27006145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 27006145600 in words is "twenty-seven billion, six million, one hundred forty-five thousand, six hundred".