27298505485440 has 2560 divisors, whose sum is σ = 122670633254400. Its totient is φ = 5640722841600.

The previous prime is 27298505485403. The next prime is 27298505485441. The reversal of 27298505485440 is 4458450589272.

27298505485440 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 8 + 505 + 4 + 85 + 4 + 40 = 666.

27298505485440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27298505485441) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 59215846810 + ... + 59215847270.

It is an arithmetic number, because the mean of its divisors is an integer number (47918216115).

Almost surely, 2^{27298505485440} is an apocalyptic number.

27298505485440 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 27298505485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61335316627200).

27298505485440 is an abundant number, since it is smaller than the sum of its proper divisors (95372127768960).

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

27298505485440 is a wasteful number, since it uses less digits than its factorization.

27298505485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 27298505485440 in words is "twenty-seven trillion, two hundred ninety-eight billion, five hundred five million, four hundred eighty-five thousand, four hundred forty".