5681220145920 has 720 divisors, whose sum is σ = 22552624765440. Its totient is φ = 1353905971200.

The previous prime is 5681220145897. The next prime is 5681220145921. The reversal of 5681220145920 is 295410221865.

5681220145920 is a `hidden beast` number, since 56 + 8 + 1 + 2 + 2 + 0 + 1 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (5681220145921) 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, 67246105 + ... + 67330535.

It is an arithmetic number, because the mean of its divisors is an integer number (31323089952).

Almost surely, 2^{5681220145920} 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 5681220145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276312382720).

5681220145920 is an abundant number, since it is smaller than the sum of its proper divisors (16871404619520).

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

5681220145920 is a wasteful number, since it uses less digits than its factorization.

5681220145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84534 (or 84511 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5681220145920 in words is "five trillion, six hundred eighty-one billion, two hundred twenty million, one hundred forty-five thousand, nine hundred twenty".