27853462872 has 112 divisors (see below), whose sum is σ = 78383576880. Its totient is φ = 9274824000.

The previous prime is 27853462867. The next prime is 27853462877. The reversal of 27853462872 is 27826435872.

27853462872 is a `hidden beast` number, since 2 + 7 + 8 + 5 + 3 + 4 + 628 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (27853462867) and next prime (27853462877).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27853462877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7585597 + ... + 7589267.

It is an arithmetic number, because the mean of its divisors is an integer number (699853365).

Almost surely, 2^27853462872 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 27853462872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191788440).

27853462872 is an abundant number, since it is smaller than the sum of its proper divisors (50530114008).

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

27853462872 is a wasteful number, since it uses less digits than its factorization.

27853462872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4977 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 27853462872 in words is "twenty-seven billion, eight hundred fifty-three million, four hundred sixty-two thousand, eight hundred seventy-two".