27454835852160 has 256 divisors, whose sum is σ = 92130171552000. Its totient is φ = 6935057104896.

The previous prime is 27454835852083. The next prime is 27454835852189. The reversal of 27454835852160 is 6125853845472.

It is a happy number.

It is a super-2 number, since 2×27454835852160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 27454835852094 and 27454835852103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307080424 + ... + 307169816.

It is an arithmetic number, because the mean of its divisors is an integer number (359883482625).

Almost surely, 2^{27454835852160} is an apocalyptic number.

27454835852160 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 27454835852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46065085776000).

27454835852160 is an abundant number, since it is smaller than the sum of its proper divisors (64675335699840).

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

27454835852160 is a wasteful number, since it uses less digits than its factorization.

27454835852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97853 (or 97841 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 60.

The spelling of 27454835852160 in words is "twenty-seven trillion, four hundred fifty-four billion, eight hundred thirty-five million, eight hundred fifty-two thousand, one hundred sixty".