27545194368 has 320 divisors, whose sum is σ = 87618326400. Its totient is φ = 8564548608.

The previous prime is 27545194363. The next prime is 27545194379. The reversal of 27545194368 is 86349154572.

It is a happy number.

27545194368 is a `hidden beast` number, since 2 + 7 + 545 + 1 + 94 + 3 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27545194363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13197421 + ... + 13199507.

It is an arithmetic number, because the mean of its divisors is an integer number (273807270).

Almost surely, 2^27545194368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27545194368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43809163200).

27545194368 is an abundant number, since it is smaller than the sum of its proper divisors (60073132032).

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

27545194368 is a wasteful number, since it uses less digits than its factorization.

27545194368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2178 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 27545194368 in words is "twenty-seven billion, five hundred forty-five million, one hundred ninety-four thousand, three hundred sixty-eight".