5358386400 has 288 divisors, whose sum is σ = 18778985568. Its totient is φ = 1322188800.

The previous prime is 5358386393. The next prime is 5358386503. The reversal of 5358386400 is 46838535.

It is a Cunningham number, because it is equal to 73201²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2487724 + ... + 2489876.

It is an arithmetic number, because the mean of its divisors is an integer number (65204811).

Almost surely, 2^5358386400 is an apocalyptic number.

5358386400 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 5358386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389492784).

5358386400 is an abundant number, since it is smaller than the sum of its proper divisors (13420599168).

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

5358386400 is a wasteful number, since it uses less digits than its factorization.

5358386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5358386400 is about 73200.9999931695. Note that the first 5 decimals coincide. The cubic root of 5358386400 is about 1749.8923906620.

The spelling of 5358386400 in words is "five billion, three hundred fifty-eight million, three hundred eighty-six thousand, four hundred".