27638200283672 has 128 divisors (see below), whose sum is σ = 57823999027200. Its totient is φ = 12278678630400.

The previous prime is 27638200283671. The next prime is 27638200283689.

27638200283672 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×27638200283672³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27638200283671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654772904 + ... + 654815112.

It is an arithmetic number, because the mean of its divisors is an integer number (451749992400).

Almost surely, 2^{27638200283672} is an apocalyptic number.

27638200283672 is a gapful number since it is divisible by the number (22) 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 27638200283672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28911999513600).

27638200283672 is an abundant number, since it is smaller than the sum of its proper divisors (30185798743528).

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

27638200283672 is a wasteful number, since it uses less digits than its factorization.

27638200283672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43057 (or 43053 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 27638200283672 in words is "twenty-seven trillion, six hundred thirty-eight billion, two hundred million, two hundred eighty-three thousand, six hundred seventy-two".