5957535516240 has 640 divisors, whose sum is σ = 24013503037440. Its totient is φ = 1185634713600.

The previous prime is 5957535516227. The next prime is 5957535516329. The reversal of 5957535516240 is 426155357595.

It is a super-2 number, since 2×5957535516240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55515756 + ... + 55622964.

It is an arithmetic number, because the mean of its divisors is an integer number (37521098496).

Almost surely, 2^{5957535516240} 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 5957535516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12006751518720).

5957535516240 is an abundant number, since it is smaller than the sum of its proper divisors (18055967521200).

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

5957535516240 is a wasteful number, since it uses less digits than its factorization.

5957535516240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107371 (or 107365 counting only the distinct ones).

The product of its (nonzero) digits is 28350000, while the sum is 57.

The spelling of 5957535516240 in words is "five trillion, nine hundred fifty-seven billion, five hundred thirty-five million, five hundred sixteen thousand, two hundred forty".