27365412480 has 256 divisors, whose sum is σ = 100024104960. Its totient is φ = 6233886720.

The previous prime is 27365412467. The next prime is 27365412517. The reversal of 27365412480 is 8421456372.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4176567 + ... + 4183113.

It is an arithmetic number, because the mean of its divisors is an integer number (390719160).

Almost surely, 2^27365412480 is an apocalyptic number.

27365412480 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 27365412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50012052480).

27365412480 is an abundant number, since it is smaller than the sum of its proper divisors (72658692480).

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

27365412480 is a wasteful number, since it uses less digits than its factorization.

27365412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 27365412480 in words is "twenty-seven billion, three hundred sixty-five million, four hundred twelve thousand, four hundred eighty".