27752661882 has 96 divisors (see below), whose sum is σ = 68278795200. Its totient is φ = 8349121440.

The previous prime is 27752661877. The next prime is 27752661887. The reversal of 27752661882 is 28816625772.

27752661882 is a `hidden beast` number, since 27 + 7 + 526 + 6 + 18 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (27752661877) and next prime (27752661887).

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

It is not an unprimeable number, because it can be changed into a prime (27752661887) 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, 892948 + ... + 923504.

It is an arithmetic number, because the mean of its divisors is an integer number (711237450).

Almost surely, 2^27752661882 is an apocalyptic number.

27752661882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27752661882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139397600).

27752661882 is an abundant number, since it is smaller than the sum of its proper divisors (40526133318).

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

27752661882 is a wasteful number, since it uses less digits than its factorization.

27752661882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30729 (or 30712 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 27752661882 in words is "twenty-seven billion, seven hundred fifty-two million, six hundred sixty-one thousand, eight hundred eighty-two".