5359478400 has 960 divisors, whose sum is σ = 22037875200. Its totient is φ = 1277337600.

The previous prime is 5359478389. The next prime is 5359478401. The reversal of 5359478400 is 48749535.

5359478400 is a `hidden beast` number, since 53 + 594 + 7 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359478401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172886385 + ... + 172886415.

It is an arithmetic number, because the mean of its divisors is an integer number (22956120).

Almost surely, 2^5359478400 is an apocalyptic number.

5359478400 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 5359478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018937600).

5359478400 is an abundant number, since it is smaller than the sum of its proper divisors (16678396800).

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

5359478400 is a wasteful number, since it uses less digits than its factorization.

5359478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5359478400 is about 73208.4585276865. The cubic root of 5359478400 is about 1750.0112543494.

The spelling of 5359478400 in words is "five billion, three hundred fifty-nine million, four hundred seventy-eight thousand, four hundred".