27138054720 has 896 divisors, whose sum is σ = 110114242560. Its totient is φ = 5520752640.

The previous prime is 27138054709. The next prime is 27138054761. The reversal of 27138054720 is 2745083172.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279773712 + ... + 279773808.

It is an arithmetic number, because the mean of its divisors is an integer number (122895360).

Almost surely, 2^27138054720 is an apocalyptic number.

27138054720 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 27138054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55057121280).

27138054720 is an abundant number, since it is smaller than the sum of its proper divisors (82976187840).

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

27138054720 is a wasteful number, since it uses less digits than its factorization.

27138054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 27138054720 in words is "twenty-seven billion, one hundred thirty-eight million, fifty-four thousand, seven hundred twenty".