27585323782120 has 64 divisors (see below), whose sum is σ = 66876525026640. Its totient is φ = 10179992064000.

The previous prime is 27585323782103. The next prime is 27585323782139. The reversal of 27585323782120 is 2128732358572.

It can be written as a sum of positive squares in 8 ways, for example, as 52236930916 + 27533086851204 = 228554^2 + 5247198^2 .

It is a super-2 number, since 2×27585323782120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12964321 + ... + 14941360.

Almost surely, 2^{27585323782120} is an apocalyptic number.

27585323782120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27585323782120 is an abundant number, since it is smaller than the sum of its proper divisors (39291201244520).

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

27585323782120 is a wasteful number, since it uses less digits than its factorization.

27585323782120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27907606 (or 27907602 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 27585323782120 in words is "twenty-seven trillion, five hundred eighty-five billion, three hundred twenty-three million, seven hundred eighty-two thousand, one hundred twenty".