27135417408 has 336 divisors, whose sum is σ = 84371761152. Its totient is φ = 7664025600.

The previous prime is 27135417349. The next prime is 27135417443. The reversal of 27135417408 is 80471453172.

It is a self number, because there is not a number n which added to its sum of digits gives 27135417408.

It is a congruent number.

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, 50157618 + ... + 50158158.

It is an arithmetic number, because the mean of its divisors is an integer number (251106432).

Almost surely, 2^27135417408 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 27135417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42185880576).

27135417408 is an abundant number, since it is smaller than the sum of its proper divisors (57236343744).

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

27135417408 is a wasteful number, since it uses less digits than its factorization.

27135417408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 27135417408 in words is "twenty-seven billion, one hundred thirty-five million, four hundred seventeen thousand, four hundred eight".