27380768153600 has 504 divisors, whose sum is σ = 74460975109248. Its totient is φ = 9974867558400.

The previous prime is 27380768153591. The next prime is 27380768153621. The reversal of 27380768153600 is 635186708372.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1834795739 + ... + 1834810661.

Almost surely, 2^{27380768153600} is an apocalyptic number.

27380768153600 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 27380768153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37230487554624).

27380768153600 is an abundant number, since it is smaller than the sum of its proper divisors (47080206955648).

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

27380768153600 is a wasteful number, since it uses less digits than its factorization.

27380768153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15024 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 27380768153600 in words is "twenty-seven trillion, three hundred eighty billion, seven hundred sixty-eight million, one hundred fifty-three thousand, six hundred".