5757882840000 has 560 divisors, whose sum is σ = 21241570521600. Its totient is φ = 1528942464000.

The previous prime is 5757882839983. The next prime is 5757882840007. The reversal of 5757882840000 is 482887575.

5757882840000 is a `hidden beast` number, since 5 + 7 + 578 + 8 + 28 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757882840007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258108847 + ... + 258131153.

Almost surely, 2^{5757882840000} is an apocalyptic number.

5757882840000 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 5757882840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10620785260800).

5757882840000 is an abundant number, since it is smaller than the sum of its proper divisors (15483687681600).

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

5757882840000 is a wasteful number, since it uses less digits than its factorization.

5757882840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22587 (or 22556 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 5757882840000 in words is "five trillion, seven hundred fifty-seven billion, eight hundred eighty-two million, eight hundred forty thousand".