5581832401152 has 288 divisors, whose sum is σ = 19047693916160. Its totient is φ = 1579324262400.

The previous prime is 5581832401127. The next prime is 5581832401177. The reversal of 5581832401152 is 2511042381855.

It is a happy number.

5581832401152 is a `hidden beast` number, since 5 + 58 + 18 + 32 + 401 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (5581832401127) and next prime (5581832401177).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5581832401098 and 5581832401107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4423527 + ... + 5543577.

Almost surely, 2^{5581832401152} 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 5581832401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523846958080).

5581832401152 is an abundant number, since it is smaller than the sum of its proper divisors (13465861515008).

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

5581832401152 is a wasteful number, since it uses less digits than its factorization.

5581832401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120186 (or 1120166 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 5581832401152 in words is "five trillion, five hundred eighty-one billion, eight hundred thirty-two million, four hundred one thousand, one hundred fifty-two".