27280060416 has 416 divisors, whose sum is σ = 93416716800. Its totient is φ = 7706050560.

The previous prime is 27280060411. The next prime is 27280060433. The reversal of 27280060416 is 61406008272.

27280060416 is a `hidden beast` number, since 27 + 28 + 0 + 0 + 604 + 1 + 6 = 666.

It is a super-2 number, since 2×27280060416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27280060411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101412730 + ... + 101412998.

Almost surely, 2^27280060416 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 27280060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46708358400).

27280060416 is an abundant number, since it is smaller than the sum of its proper divisors (66136656384).

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

27280060416 is a wasteful number, since it uses less digits than its factorization.

27280060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 27280060416 its reverse (61406008272), we get a palindrome (88686068688).

The spelling of 27280060416 in words is "twenty-seven billion, two hundred eighty million, sixty thousand, four hundred sixteen".