5723226748800 has 1152 divisors, whose sum is σ = 23642724268800. Its totient is φ = 1304533401600.

The previous prime is 5723226748781. The next prime is 5723226748871. The reversal of 5723226748800 is 88476223275.

5723226748800 is a `hidden beast` number, since 5 + 72 + 32 + 2 + 67 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×5723226748800³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 429890944 + ... + 429904256.

It is an arithmetic number, because the mean of its divisors is an integer number (20523198150).

Almost surely, 2^{5723226748800} is an apocalyptic number.

5723226748800 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 5723226748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11821362134400).

5723226748800 is an abundant number, since it is smaller than the sum of its proper divisors (17919497520000).

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

5723226748800 is a wasteful number, since it uses less digits than its factorization.

5723226748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13436 (or 13416 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 5723226748800 in words is "five trillion, seven hundred twenty-three billion, two hundred twenty-six million, seven hundred forty-eight thousand, eight hundred".