5613888440160 has 4608 divisors, whose sum is σ = 29050489036800. Its totient is φ = 992003604480.

The previous prime is 5613888440143. The next prime is 5613888440189. The reversal of 5613888440160 is 610448883165.

5613888440160 is a `hidden beast` number, since 5 + 6 + 1 + 38 + 8 + 8 + 440 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5613888440097 and 5613888440106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 24730785967 + ... + 24730786193.

It is an arithmetic number, because the mean of its divisors is an integer number (6304359600).

Almost surely, 2^{5613888440160} 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 5613888440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14525244518400).

5613888440160 is an abundant number, since it is smaller than the sum of its proper divisors (23436600596640).

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

5613888440160 is a wasteful number, since it uses less digits than its factorization.

5613888440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 5613888440160 in words is "five trillion, six hundred thirteen billion, eight hundred eighty-eight million, four hundred forty thousand, one hundred sixty".