5471523388800 has 1536 divisors, whose sum is σ = 24221628288000. Its totient is φ = 1178309099520.

The previous prime is 5471523388789. The next prime is 5471523388817. The reversal of 5471523388800 is 88833251745.

5471523388800 is a `hidden beast` number, since 5 + 4 + 7 + 1 + 523 + 38 + 8 + 80 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2263765192 + ... + 2263767608.

It is an arithmetic number, because the mean of its divisors is an integer number (15769289250).

Almost surely, 2^{5471523388800} is an apocalyptic number.

5471523388800 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 5471523388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12110814144000).

5471523388800 is an abundant number, since it is smaller than the sum of its proper divisors (18750104899200).

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

5471523388800 is a wasteful number, since it uses less digits than its factorization.

5471523388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5471523388800 in words is "five trillion, four hundred seventy-one billion, five hundred twenty-three million, three hundred eighty-eight thousand, eight hundred".