5756506560000 has 2400 divisors, whose sum is σ = 25057934094336. Its totient is φ = 1244160000000.

The previous prime is 5756506559933. The next prime is 5756506560037. The reversal of 5756506560000 is 656056575.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 38122559925 + ... + 38122560075.

Almost surely, 2^{5756506560000} is an apocalyptic number.

5756506560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756506560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528967047168).

5756506560000 is an abundant number, since it is smaller than the sum of its proper divisors (19301427534336).

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

5756506560000 is a wasteful number, since it uses less digits than its factorization.

5756506560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 5756506560000 in words is "five trillion, seven hundred fifty-six billion, five hundred six million, five hundred sixty thousand".