27079557120 has 1200 divisors, whose sum is σ = 123321356928. Its totient is φ = 5520752640.

The previous prime is 27079557119. The next prime is 27079557121. The reversal of 27079557120 is 2175597072.

27079557120 is a `hidden beast` number, since 2 + 7 + 0 + 79 + 5 + 571 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27079557119) and next prime (27079557121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27079557121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510935014 + ... + 510935066.

Almost surely, 2^27079557120 is an apocalyptic number.

27079557120 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 27079557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61660678464).

27079557120 is an abundant number, since it is smaller than the sum of its proper divisors (96241799808).

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

27079557120 is an equidigital number, since it uses as much as digits as its factorization.

27079557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 27079557120 in words is "twenty-seven billion, seventy-nine million, five hundred fifty-seven thousand, one hundred twenty".