27309455145504 has 864 divisors, whose sum is σ = 94420901352960. Its totient is φ = 7457096908800.

The previous prime is 27309455145503. The next prime is 27309455145509. The reversal of 27309455145504 is 40554155490372.

27309455145504 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 9 + 45 + 51 + 45 + 504 = 666.

It is a super-2 number, since 2×27309455145504² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27309455145503) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16362764382 + ... + 16362766050.

It is an arithmetic number, because the mean of its divisors is an integer number (109283450640).

Almost surely, 2^{27309455145504} is an apocalyptic number.

27309455145504 is a gapful number since it is divisible by the number (24) 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 27309455145504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47210450676480).

27309455145504 is an abundant number, since it is smaller than the sum of its proper divisors (67111446207456).

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

27309455145504 is a wasteful number, since it uses less digits than its factorization.

27309455145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 27309455145504 in words is "twenty-seven trillion, three hundred nine billion, four hundred fifty-five million, one hundred forty-five thousand, five hundred four".