27360789120 has 768 divisors, whose sum is σ = 114894823680. Its totient is φ = 6091407360.

The previous prime is 27360789097. The next prime is 27360789139. The reversal of 27360789120 is 2198706372.

27360789120 is a `hidden beast` number, since 27 + 3 + 607 + 8 + 9 + 12 + 0 = 666.

It is a super-2 number, since 2×27360789120² (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 95 ways as a sum of consecutive naturals, for example, 44633934 + ... + 44634546.

It is an arithmetic number, because the mean of its divisors is an integer number (149602635).

Almost surely, 2^27360789120 is an apocalyptic number.

27360789120 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 27360789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57447411840).

27360789120 is an abundant number, since it is smaller than the sum of its proper divisors (87534034560).

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

27360789120 is an equidigital number, since it uses as much as digits as its factorization.

27360789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

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

The spelling of 27360789120 in words is "twenty-seven billion, three hundred sixty million, seven hundred eighty-nine thousand, one hundred twenty".