5641624581120 has 1408 divisors, whose sum is σ = 22357327449600. Its totient is φ = 1337720832000.

The previous prime is 5641624581067. The next prime is 5641624581163. The reversal of 5641624581120 is 211854261465.

5641624581120 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 62 + 4 + 581 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16740725592 + ... + 16740725928.

It is an arithmetic number, because the mean of its divisors is an integer number (15878783700).

Almost surely, 2^{5641624581120} 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 5641624581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178663724800).

5641624581120 is an abundant number, since it is smaller than the sum of its proper divisors (16715702868480).

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

5641624581120 is a wasteful number, since it uses less digits than its factorization.

5641624581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5641624581120 in words is "five trillion, six hundred forty-one billion, six hundred twenty-four million, five hundred eighty-one thousand, one hundred twenty".