5613506426880 has 1920 divisors, whose sum is σ = 23015068876800. Its totient is φ = 1296315187200.

The previous prime is 5613506426839. The next prime is 5613506426887. The reversal of 5613506426880 is 886246053165.

5613506426880 is a `hidden beast` number, since 5 + 6 + 13 + 506 + 42 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×5613506426880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5613506426887) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25172674449 + ... + 25172674671.

It is an arithmetic number, because the mean of its divisors is an integer number (11987015040).

Almost surely, 2^{5613506426880} 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 5613506426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11507534438400).

5613506426880 is an abundant number, since it is smaller than the sum of its proper divisors (17401562449920).

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

5613506426880 is a wasteful number, since it uses less digits than its factorization.

5613506426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5613506426880 in words is "five trillion, six hundred thirteen billion, five hundred six million, four hundred twenty-six thousand, eight hundred eighty".