27777613248 has 336 divisors, whose sum is σ = 101954770944. Its totient is φ = 7019550720.

The previous prime is 27777613247. The next prime is 27777613273. The reversal of 27777613248 is 84231677772.

27777613248 is a `hidden beast` number, since 277 + 77 + 61 + 3 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27777613194 and 27777613203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27777613243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632561 + ... + 1649487.

Almost surely, 2^27777613248 is an apocalyptic number.

27777613248 is a gapful number since it is divisible by the number (28) 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 27777613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50977385472).

27777613248 is an abundant number, since it is smaller than the sum of its proper divisors (74177157696).

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

27777613248 is a wasteful number, since it uses less digits than its factorization.

27777613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17000 (or 16987 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 27777613248 in words is "twenty-seven billion, seven hundred seventy-seven million, six hundred thirteen thousand, two hundred forty-eight".