27325045440 has 560 divisors, whose sum is σ = 121193259264. Its totient is φ = 5677516800.

The previous prime is 27325045399. The next prime is 27325045441. The reversal of 27325045440 is 4454052372.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27325045395 and 27325045404.

It is not an unprimeable number, because it can be changed into a prime (27325045441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1988995 + ... + 2002685.

Almost surely, 2^27325045440 is an apocalyptic number.

27325045440 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 27325045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60596629632).

27325045440 is an abundant number, since it is smaller than the sum of its proper divisors (93868213824).

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

27325045440 is a wasteful number, since it uses less digits than its factorization.

27325045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13738 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 27325045440 in words is "twenty-seven billion, three hundred twenty-five million, forty-five thousand, four hundred forty".