27349530612480 has 1440 divisors, whose sum is σ = 103152188373696. Its totient is φ = 6911812435968.

The previous prime is 27349530612427. The next prime is 27349530612487. The reversal of 27349530612480 is 8421603594372.

27349530612480 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 9 + 530 + 6 + 1 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (27349530612487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24931203292 + ... + 24931204388.

It is a 1-persistent number, because it is pandigital, but 2⋅27349530612480 = 54699061224960 is not.

Almost surely, 2^{27349530612480} is an apocalyptic number.

27349530612480 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 27349530612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51576094186848).

27349530612480 is an abundant number, since it is smaller than the sum of its proper divisors (75802657761216).

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

27349530612480 is a wasteful number, since it uses less digits than its factorization.

27349530612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 27349530612480 in words is "twenty-seven trillion, three hundred forty-nine billion, five hundred thirty million, six hundred twelve thousand, four hundred eighty".