5659141478400 has 1296 divisors, whose sum is σ = 22250924677800. Its totient is φ = 1369760071680.

The previous prime is 5659141478269. The next prime is 5659141478401. The reversal of 5659141478400 is 48741419565.

5659141478400 is a `hidden beast` number, since 5 + 6 + 5 + 91 + 4 + 147 + 8 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5659141478401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6588057171 + ... + 6588058029.

Almost surely, 2^{5659141478400} is an apocalyptic number.

5659141478400 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 5659141478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125462338900).

5659141478400 is an abundant number, since it is smaller than the sum of its proper divisors (16591783199400).

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

5659141478400 is a wasteful number, since it uses less digits than its factorization.

5659141478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5659141478400 in words is "five trillion, six hundred fifty-nine billion, one hundred forty-one million, four hundred seventy-eight thousand, four hundred".