5581791705672 has 480 divisors, whose sum is σ = 19371971836800. Its totient is φ = 1470282098688.

The previous prime is 5581791705613. The next prime is 5581791705727. The reversal of 5581791705672 is 2765071971855.

It is a happy number.

5581791705672 is a `hidden beast` number, since 5 + 58 + 1 + 7 + 9 + 17 + 0 + 567 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 679955904 + ... + 679964112.

It is an arithmetic number, because the mean of its divisors is an integer number (40358274660).

Almost surely, 2^{5581791705672} is an apocalyptic number.

5581791705672 is a gapful number since it is divisible by the number (52) 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 5581791705672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685985918400).

5581791705672 is an abundant number, since it is smaller than the sum of its proper divisors (13790180131128).

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

5581791705672 is a wasteful number, since it uses less digits than its factorization.

5581791705672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9147 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 63.

The spelling of 5581791705672 in words is "five trillion, five hundred eighty-one billion, seven hundred ninety-one million, seven hundred five thousand, six hundred seventy-two".