27772857840 has 1280 divisors, whose sum is σ = 122872135680. Its totient is φ = 5016453120.

The previous prime is 27772857769. The next prime is 27772857841. The reversal of 27772857840 is 4875827772.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27772857841) 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 255 ways as a sum of consecutive naturals, for example, 218683857 + ... + 218683983.

It is an arithmetic number, because the mean of its divisors is an integer number (95993856).

Almost surely, 2^27772857840 is an apocalyptic number.

27772857840 is a gapful number since it is divisible by the number (20) 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 27772857840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61436067840).

27772857840 is an abundant number, since it is smaller than the sum of its proper divisors (95099277840).

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

27772857840 is a wasteful number, since it uses less digits than its factorization.

27772857840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 12293120, while the sum is 57.

The spelling of 27772857840 in words is "twenty-seven billion, seven hundred seventy-two million, eight hundred fifty-seven thousand, eight hundred forty".