27498049440 has 288 divisors, whose sum is σ = 96865917120. Its totient is φ = 6537609216.

The previous prime is 27498049433. The next prime is 27498049451. The reversal of 27498049440 is 4494089472.

It is a super-2 number, since 2×27498049440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2630464 + ... + 2640896.

It is an arithmetic number, because the mean of its divisors is an integer number (336339990).

Almost surely, 2^27498049440 is an apocalyptic number.

27498049440 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 27498049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432958560).

27498049440 is an abundant number, since it is smaller than the sum of its proper divisors (69367867680).

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

27498049440 is a wasteful number, since it uses less digits than its factorization.

27498049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 27498049440 in words is "twenty-seven billion, four hundred ninety-eight million, forty-nine thousand, four hundred forty".