27405451840 has 112 divisors (see below), whose sum is σ = 71774986752. Its totient is φ = 9903568896.

The previous prime is 27405451811. The next prime is 27405451889. The reversal of 27405451840 is 4815450472.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27405451793 and 27405451802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125437 + ... + 265603.

It is an arithmetic number, because the mean of its divisors is an integer number (640848096).

Almost surely, 2^27405451840 is an apocalyptic number.

27405451840 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 27405451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35887493376).

27405451840 is an abundant number, since it is smaller than the sum of its proper divisors (44369534912).

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

27405451840 is a wasteful number, since it uses less digits than its factorization.

27405451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140244 (or 140234 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 27405451840 in words is "twenty-seven billion, four hundred five million, four hundred fifty-one thousand, eight hundred forty".