27380130624000 has 4800 divisors, whose sum is σ = 133138063618560. Its totient is φ = 5527388160000.

The previous prime is 27380130623939. The next prime is 27380130624029. The reversal of 27380130624000 is 42603108372.

It is a happy number.

27380130624000 is a `hidden beast` number, since 2 + 7 + 380 + 1 + 30 + 6 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 114561215881 + ... + 114561216119.

Almost surely, 2^{27380130624000} is an apocalyptic number.

27380130624000 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 27380130624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66569031809280).

27380130624000 is an abundant number, since it is smaller than the sum of its proper divisors (105757932994560).

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

27380130624000 is a wasteful number, since it uses less digits than its factorization.

27380130624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27380130624000 in words is "twenty-seven trillion, three hundred eighty billion, one hundred thirty million, six hundred twenty-four thousand".