27303125801616 has 240 divisors, whose sum is σ = 89673302013568. Its totient is φ = 7593904742400.

The previous prime is 27303125801599. The next prime is 27303125801621. The reversal of 27303125801616 is 61610852130372.

It is a happy number.

27303125801616 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 3 + 1 + 2 + 580 + 1 + 61 + 6 = 666.

It is a super-2 number, since 2×27303125801616² (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 47 ways as a sum of consecutive naturals, for example, 3675471 + ... + 8253201.

Almost surely, 2^{27303125801616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27303125801616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44836651006784).

27303125801616 is an abundant number, since it is smaller than the sum of its proper divisors (62370176211952).

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

27303125801616 is a wasteful number, since it uses less digits than its factorization.

27303125801616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577910 (or 4577901 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

Adding to 27303125801616 its reverse (61610852130372), we get a palindrome (88913977931988).

The spelling of 27303125801616 in words is "twenty-seven trillion, three hundred three billion, one hundred twenty-five million, eight hundred one thousand, six hundred sixteen".