5581864189440 has 3840 divisors, whose sum is σ = 27786107289600. Its totient is φ = 1028771020800.

The previous prime is 5581864189427. The next prime is 5581864189519. The reversal of 5581864189440 is 449814681855.

It is a happy number.

5581864189440 is a `hidden beast` number, since 5 + 5 + 8 + 1 + 8 + 6 + 4 + 189 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29224419745 + ... + 29224419935.

It is an arithmetic number, because the mean of its divisors is an integer number (7235965440).

Almost surely, 2^{5581864189440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5581864189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13893053644800).

5581864189440 is an abundant number, since it is smaller than the sum of its proper divisors (22204243100160).

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

5581864189440 is a wasteful number, since it uses less digits than its factorization.

5581864189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 5581864189440 in words is "five trillion, five hundred eighty-one billion, eight hundred sixty-four million, one hundred eighty-nine thousand, four hundred forty".