27741313192320 has 4096 divisors, whose sum is σ = 132025614336000. Its totient is φ = 5344672481280.

The previous prime is 27741313192291. The next prime is 27741313192339. The reversal of 27741313192320 is 2329131314772.

27741313192320 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 1 + 3 + 1 + 319 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 122208428047 + ... + 122208428273.

It is an arithmetic number, because the mean of its divisors is an integer number (32232816000).

Almost surely, 2^{27741313192320} is an apocalyptic number.

27741313192320 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 27741313192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66012807168000).

27741313192320 is an abundant number, since it is smaller than the sum of its proper divisors (104284301143680).

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

27741313192320 is a wasteful number, since it uses less digits than its factorization.

27741313192320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 27741313192320 in words is "twenty-seven trillion, seven hundred forty-one billion, three hundred thirteen million, one hundred ninety-two thousand, three hundred twenty".