5613569245440 has 864 divisors, whose sum is σ = 21413089990656. Its totient is φ = 1349133926400.

The previous prime is 5613569245433. The next prime is 5613569245447. The reversal of 5613569245440 is 445429653165.

5613569245440 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 5 + 6 + 92 + 4 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5613569245433) and next prime (5613569245447).

It is not an unprimeable number, because it can be changed into a prime (5613569245447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4230270057 + ... + 4230271383.

Almost surely, 2^{5613569245440} 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 5613569245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10706544995328).

5613569245440 is an abundant number, since it is smaller than the sum of its proper divisors (15799520745216).

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

5613569245440 is a wasteful number, since it uses less digits than its factorization.

5613569245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 5613569245440 in words is "five trillion, six hundred thirteen billion, five hundred sixty-nine million, two hundred forty-five thousand, four hundred forty".