27772303104 has 648 divisors, whose sum is σ = 101781388800. Its totient is φ = 7218118656.

The previous prime is 27772303103. The next prime is 27772303121. The reversal of 27772303104 is 40130327772.

It is a happy number.

27772303104 is a `hidden beast` number, since 277 + 72 + 3 + 0 + 310 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27772303103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 186391222 + ... + 186391370.

Almost surely, 2^27772303104 is an apocalyptic number.

27772303104 is a gapful number since it is divisible by the number (24) 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 27772303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50890694400).

27772303104 is an abundant number, since it is smaller than the sum of its proper divisors (74009085696).

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

27772303104 is a wasteful number, since it uses less digits than its factorization.

27772303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 27772303104 in words is "twenty-seven billion, seven hundred seventy-two million, three hundred three thousand, one hundred four".