5757004800000 has 672 divisors, whose sum is σ = 21322133733600. Its totient is φ = 1535016960000.

The previous prime is 5757004799993. The next prime is 5757004800007. The reversal of 5757004800000 is 84007575.

5757004800000 is a `hidden beast` number, since 5 + 7 + 570 + 0 + 4 + 80 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5757004799993) and next prime (5757004800007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757004800007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691195836 + ... + 691204164.

It is an arithmetic number, because the mean of its divisors is an integer number (31729365675).

Almost surely, 2^{5757004800000} is an apocalyptic number.

5757004800000 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 5757004800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661066866800).

5757004800000 is an abundant number, since it is smaller than the sum of its proper divisors (15565128933600).

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

5757004800000 is an frugal number, since it uses more digits than its factorization.

5757004800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8389 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 5757004800000 its reverse (84007575), we get a palindrome (5757088807575).

The spelling of 5757004800000 in words is "five trillion, seven hundred fifty-seven billion, four million, eight hundred thousand".