27545436270240 has 384 divisors, whose sum is σ = 99349609218048. Its totient is φ = 6284300267520.

The previous prime is 27545436270139. The next prime is 27545436270257. The reversal of 27545436270240 is 4207263454572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4818159862 + ... + 4818165578.

It is an arithmetic number, because the mean of its divisors is an integer number (258722940672).

Almost surely, 2^{27545436270240} is an apocalyptic number.

27545436270240 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 27545436270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674804609024).

27545436270240 is an abundant number, since it is smaller than the sum of its proper divisors (71804172947808).

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

27545436270240 is a wasteful number, since it uses less digits than its factorization.

27545436270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8180 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 51.

The spelling of 27545436270240 in words is "twenty-seven trillion, five hundred forty-five billion, four hundred thirty-six million, two hundred seventy thousand, two hundred forty".