5755898890560 has 2688 divisors, whose sum is σ = 25505334328320. Its totient is φ = 1066354606080.

The previous prime is 5755898890541. The next prime is 5755898890601. The reversal of 5755898890560 is 650988985575.

It is a super-2 number, since 2×5755898890560² (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 (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52806411786 + ... + 52806411894.

It is an arithmetic number, because the mean of its divisors is an integer number (9488591640).

Almost surely, 2^{5755898890560} 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 5755898890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752667164160).

5755898890560 is an abundant number, since it is smaller than the sum of its proper divisors (19749435437760).

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

5755898890560 is a wasteful number, since it uses less digits than its factorization.

5755898890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 75.

The spelling of 5755898890560 in words is "five trillion, seven hundred fifty-five billion, eight hundred ninety-eight million, eight hundred ninety thousand, five hundred sixty".