27803960352 has 144 divisors (see below), whose sum is σ = 90515722752. Its totient is φ = 7930552320.

The previous prime is 27803960323. The next prime is 27803960383. The reversal of 27803960352 is 25306930872.

27803960352 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 39 + 603 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27803960352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27803960298 and 27803960307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212352 + ... + 1235072.

It is an arithmetic number, because the mean of its divisors is an integer number (628581408).

Almost surely, 2^27803960352 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 27803960352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45257861376).

27803960352 is an abundant number, since it is smaller than the sum of its proper divisors (62711762400).

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

27803960352 is a wasteful number, since it uses less digits than its factorization.

27803960352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23351 (or 23340 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27803960352 in words is "twenty-seven billion, eight hundred three million, nine hundred sixty thousand, three hundred fifty-two".