27123621120 has 864 divisors, whose sum is σ = 104995537920. Its totient is φ = 6688604160.

The previous prime is 27123621097. The next prime is 27123621163. The reversal of 27123621120 is 2112632172.

27123621120 is a `hidden beast` number, since 2 + 7 + 1 + 23 + 621 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×27123621120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279624912 + ... + 279625008.

Almost surely, 2^27123621120 is an apocalyptic number.

27123621120 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 27123621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52497768960).

27123621120 is an abundant number, since it is smaller than the sum of its proper divisors (77871916800).

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

27123621120 is an equidigital number, since it uses as much as digits as its factorization.

27123621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 27123621120 in words is "twenty-seven billion, one hundred twenty-three million, six hundred twenty-one thousand, one hundred twenty".