27540438891546 has 384 divisors, whose sum is σ = 68327640460800. Its totient is φ = 7241167964160.

The previous prime is 27540438891541. The next prime is 27540438891571. The reversal of 27540438891546 is 64519883404572.

It is not an unprimeable number, because it can be changed into a prime (27540438891541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27623308320 + ... + 27623309316.

It is an arithmetic number, because the mean of its divisors is an integer number (177936563700).

It is a 1-persistent number, because it is pandigital, but 2⋅27540438891546 = 55080877783092 is not.

Almost surely, 2^{27540438891546} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27540438891546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34163820230400).

27540438891546 is an abundant number, since it is smaller than the sum of its proper divisors (40787201569254).

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

27540438891546 is a wasteful number, since it uses less digits than its factorization.

27540438891546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 66.

The spelling of 27540438891546 in words is "twenty-seven trillion, five hundred forty billion, four hundred thirty-eight million, eight hundred ninety-one thousand, five hundred forty-six".