5753393971200 has 714 divisors, whose sum is σ = 21397117142874. Its totient is φ = 1533919887360.

The previous prime is 5753393971189. The next prime is 5753393971207. The reversal of 5753393971200 is 21793933575.

5753393971200 is a `hidden beast` number, since 5 + 7 + 5 + 339 + 39 + 71 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 764411904 + 5752629559296 = 27648^2 + 2398464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5753393971207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1194391192 + ... + 1194396008.

Almost surely, 2^{5753393971200} is an apocalyptic number.

5753393971200 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 5753393971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10698558571437).

5753393971200 is an abundant number, since it is smaller than the sum of its proper divisors (15643723171674).

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

5753393971200 is an frugal number, since it uses more digits than its factorization.

5753393971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 54.

The spelling of 5753393971200 in words is "five trillion, seven hundred fifty-three billion, three hundred ninety-three million, nine hundred seventy-one thousand, two hundred".