27731320081920 has 1600 divisors, whose sum is σ = 126192019193856. Its totient is φ = 5662142300160.

The previous prime is 27731320081901. The next prime is 27731320081931. The reversal of 27731320081920 is 2918002313772.

27731320081920 is a `hidden beast` number, since 277 + 3 + 13 + 200 + 81 + 92 + 0 = 666.

It is a super-2 number, since 2×27731320081920² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 584938857 + ... + 584986263.

Almost surely, 2^{27731320081920} is an apocalyptic number.

27731320081920 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 27731320081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63096009596928).

27731320081920 is an abundant number, since it is smaller than the sum of its proper divisors (98460699111936).

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

27731320081920 is a wasteful number, since it uses less digits than its factorization.

27731320081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47493 (or 47468 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27731320081920 in words is "twenty-seven trillion, seven hundred thirty-one billion, three hundred twenty million, eighty-one thousand, nine hundred twenty".