5738545612800 has 5184 divisors, whose sum is σ = 29661257808000. Its totient is φ = 1062744883200.

The previous prime is 5738545612711. The next prime is 5738545612843. The reversal of 5738545612800 is 82165458375.

5738545612800 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 54 + 561 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×5738545612800² (a number of 26 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 197880883186 + ... + 197880883214.

It is an arithmetic number, because the mean of its divisors is an integer number (5721693250).

Almost surely, 2^{5738545612800} is an apocalyptic number.

5738545612800 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 5738545612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830628904000).

5738545612800 is an abundant number, since it is smaller than the sum of its proper divisors (23922712195200).

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

5738545612800 is a wasteful number, since it uses less digits than its factorization.

5738545612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 5738545612800 in words is "five trillion, seven hundred thirty-eight billion, five hundred forty-five million, six hundred twelve thousand, eight hundred".