27146135439360 has 2304 divisors, whose sum is σ = 117375662476800. Its totient is φ = 5885971660800.

The previous prime is 27146135439347. The next prime is 27146135439503. The reversal of 27146135439360 is 6393453164172.

27146135439360 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 6 + 1 + 3 + 543 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 27146135439297 and 27146135439306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30812866120 + ... + 30812867000.

It is an arithmetic number, because the mean of its divisors is an integer number (50944297950).

Almost surely, 2^{27146135439360} is an apocalyptic number.

27146135439360 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 27146135439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58687831238400).

27146135439360 is an abundant number, since it is smaller than the sum of its proper divisors (90229527037440).

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

27146135439360 is an equidigital number, since it uses as much as digits as its factorization.

27146135439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 27146135439360 in words is "twenty-seven trillion, one hundred forty-six billion, one hundred thirty-five million, four hundred thirty-nine thousand, three hundred sixty".