27238905360 has 120 divisors (see below), whose sum is σ = 92006515224. Its totient is φ = 7221688320.

The previous prime is 27238905349. The next prime is 27238905391. The reversal of 27238905360 is 6350983272.

27238905360 is a `hidden beast` number, since 2 + 7 + 23 + 8 + 90 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1084253184 + 26154652176 = 32928^2 + 161724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×27238905360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15220 + ... + 233900.

Almost surely, 2^27238905360 is an apocalyptic number.

27238905360 is a gapful number since it is divisible by the number (20) 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 27238905360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46003257612).

27238905360 is an abundant number, since it is smaller than the sum of its proper divisors (64767609864).

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

27238905360 is a wasteful number, since it uses less digits than its factorization.

27238905360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218873 (or 218864 counting only the distinct ones).

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

The spelling of 27238905360 in words is "twenty-seven billion, two hundred thirty-eight million, nine hundred five thousand, three hundred sixty".