5448723724800 has 240 divisors, whose sum is σ = 19999466023680. Its totient is φ = 1452992901120.

The previous prime is 5448723724789. The next prime is 5448723724817. The reversal of 5448723724800 is 84273278445.

5448723724800 is a `hidden beast` number, since 5 + 448 + 72 + 37 + 24 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5448723724800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7537392 + ... + 8228591.

It is an arithmetic number, because the mean of its divisors is an integer number (83331108432).

Almost surely, 2^{5448723724800} is an apocalyptic number.

5448723724800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5448723724800 is an abundant number, since it is smaller than the sum of its proper divisors (14550742298880).

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

5448723724800 is a wasteful number, since it uses less digits than its factorization.

5448723724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766020 (or 15765993 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 5448723724800 in words is "five trillion, four hundred forty-eight billion, seven hundred twenty-three million, seven hundred twenty-four thousand, eight hundred".