5723924044800 has 1584 divisors, whose sum is σ = 22396712581152. Its totient is φ = 1277165568000.

The previous prime is 5723924044723. The next prime is 5723924044801. The reversal of 5723924044800 is 84404293275.

It is a super-3 number, since 3×5723924044800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5723924044800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5723924044801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14274124600 + ... + 14274125000.

Almost surely, 2^{5723924044800} is an apocalyptic number.

5723924044800 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 5723924044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198356290576).

5723924044800 is an abundant number, since it is smaller than the sum of its proper divisors (16672788536352).

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

5723924044800 is a wasteful number, since it uses less digits than its factorization.

5723924044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 5723924044800 in words is "five trillion, seven hundred twenty-three billion, nine hundred twenty-four million, forty-four thousand, eight hundred".