27380614857120 has 3072 divisors, whose sum is σ = 126289207296000. Its totient is φ = 5389677232128.

The previous prime is 27380614857077. The next prime is 27380614857133. The reversal of 27380614857120 is 2175841608372.

27380614857120 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 0 + 6 + 1 + 48 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 86374179202 + ... + 86374179518.

It is an arithmetic number, because the mean of its divisors is an integer number (41109768000).

Almost surely, 2^{27380614857120} is an apocalyptic number.

27380614857120 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 27380614857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63144603648000).

27380614857120 is an abundant number, since it is smaller than the sum of its proper divisors (98908592438880).

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

27380614857120 is a wasteful number, since it uses less digits than its factorization.

27380614857120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 27380614857120 in words is "twenty-seven trillion, three hundred eighty billion, six hundred fourteen million, eight hundred fifty-seven thousand, one hundred twenty".