5597907144960 has 576 divisors, whose sum is σ = 20544799968000. Its totient is φ = 1287524450304.

The previous prime is 5597907144959. The next prime is 5597907144967. The reversal of 5597907144960 is 694417097955.

It is a super-3 number, since 3×5597907144960³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5597907144891 and 5597907144900.

It is not an unprimeable number, because it can be changed into a prime (5597907144967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69198616 + ... + 69279464.

It is an arithmetic number, because the mean of its divisors is an integer number (35668055500).

Almost surely, 2^{5597907144960} 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 5597907144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272399984000).

5597907144960 is an abundant number, since it is smaller than the sum of its proper divisors (14946892823040).

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

5597907144960 is a wasteful number, since it uses less digits than its factorization.

5597907144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80978 (or 80964 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 66.

The spelling of 5597907144960 in words is "five trillion, five hundred ninety-seven billion, nine hundred seven million, one hundred forty-four thousand, nine hundred sixty".