27866353340032 has 128 divisors (see below), whose sum is σ = 60686071188480. Its totient is φ = 12688607232000.

The previous prime is 27866353339987. The next prime is 27866353340039. The reversal of 27866353340032 is 23004335366872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×27866353340032² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27866353340039) 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 15 ways as a sum of consecutive naturals, for example, 495840958 + ... + 495897154.

It is an arithmetic number, because the mean of its divisors is an integer number (474109931160).

Almost surely, 2^{27866353340032} 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 27866353340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30343035594240).

27866353340032 is an abundant number, since it is smaller than the sum of its proper divisors (32819717848448).

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

27866353340032 is a wasteful number, since it uses less digits than its factorization.

27866353340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63610 (or 63598 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 52.

The spelling of 27866353340032 in words is "twenty-seven trillion, eight hundred sixty-six billion, three hundred fifty-three million, three hundred forty thousand, thirty-two".