5285538316800 has 1920 divisors, whose sum is σ = 23746694400000. Its totient is φ = 1124561387520.

The previous prime is 5285538316789. The next prime is 5285538316879. The reversal of 5285538316800 is 86138355825.

It is a happy number.

5285538316800 is a `hidden beast` number, since 5 + 2 + 8 + 553 + 8 + 3 + 1 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 2711922226 + ... + 2711924174.

It is an arithmetic number, because the mean of its divisors is an integer number (12368070000).

Almost surely, 2^{5285538316800} is an apocalyptic number.

5285538316800 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 5285538316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873347200000).

5285538316800 is an abundant number, since it is smaller than the sum of its proper divisors (18461156083200).

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

5285538316800 is a wasteful number, since it uses less digits than its factorization.

5285538316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5285538316800 in words is "five trillion, two hundred eighty-five billion, five hundred thirty-eight million, three hundred sixteen thousand, eight hundred".