27249805440 has 384 divisors, whose sum is σ = 110550847680. Its totient is φ = 6097674240.

The previous prime is 27249805423. The next prime is 27249805481. The reversal of 27249805440 is 4450894272.

27249805440 is a `hidden beast` number, since 2 + 7 + 24 + 9 + 80 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 807139 + ... + 840221.

Almost surely, 2^27249805440 is an apocalyptic number.

27249805440 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 27249805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55275423840).

27249805440 is an abundant number, since it is smaller than the sum of its proper divisors (83301042240).

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

27249805440 is a wasteful number, since it uses less digits than its factorization.

27249805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33132 (or 33117 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27249805440 in words is "twenty-seven billion, two hundred forty-nine million, eight hundred five thousand, four hundred forty".