27354520436040 has 640 divisors, whose sum is σ = 110775182031360. Its totient is φ = 5918948868096.

The previous prime is 27354520436039. The next prime is 27354520436083. The reversal of 27354520436040 is 4063402545372.

27354520436040 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 45 + 204 + 360 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50328774 + ... + 50869386.

It is an arithmetic number, because the mean of its divisors is an integer number (173086221924).

Almost surely, 2^{27354520436040} is an apocalyptic number.

27354520436040 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 27354520436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55387591015680).

27354520436040 is an abundant number, since it is smaller than the sum of its proper divisors (83420661595320).

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

27354520436040 is a wasteful number, since it uses less digits than its factorization.

27354520436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540763 (or 540750 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 27354520436040 in words is "twenty-seven trillion, three hundred fifty-four billion, five hundred twenty million, four hundred thirty-six thousand, forty".