27780181506 has 192 divisors, whose sum is σ = 77252797440. Its totient is φ = 7006158720.

The previous prime is 27780181459. The next prime is 27780181531. The reversal of 27780181506 is 60518108772.

It is a happy number.

It is a super-4 number, since 4×27780181506⁴ (a number of 43 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6785196 + ... + 6789288.

It is an arithmetic number, because the mean of its divisors is an integer number (402358320).

Almost surely, 2^27780181506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27780181506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38626398720).

27780181506 is an abundant number, since it is smaller than the sum of its proper divisors (49472615934).

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

27780181506 is a wasteful number, since it uses less digits than its factorization.

27780181506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 27780181506 in words is "twenty-seven billion, seven hundred eighty million, one hundred eighty-one thousand, five hundred six".