5748306739200 has 960 divisors, whose sum is σ = 21739895760000. Its totient is φ = 1488055173120.

The previous prime is 5748306739199. The next prime is 5748306739291. The reversal of 5748306739200 is 29376038475.

5748306739200 is a `hidden beast` number, since 5 + 7 + 483 + 0 + 6 + 73 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13094092581 + ... + 13094093019.

It is an arithmetic number, because the mean of its divisors is an integer number (22645724750).

Almost surely, 2^{5748306739200} is an apocalyptic number.

5748306739200 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 5748306739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869947880000).

5748306739200 is an abundant number, since it is smaller than the sum of its proper divisors (15991589020800).

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

5748306739200 is an frugal number, since it uses more digits than its factorization.

5748306739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5748306739200 in words is "five trillion, seven hundred forty-eight billion, three hundred six million, seven hundred thirty-nine thousand, two hundred".