5425358400 has 1008 divisors, whose sum is σ = 25205618880. Its totient is φ = 1122508800.

The previous prime is 5425358371. The next prime is 5425358413. The reversal of 5425358400 is 48535245.

5425358400 is a `hidden beast` number, since 5 + 42 + 535 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23284684 + ... + 23284916.

Almost surely, 2^5425358400 is an apocalyptic number.

5425358400 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 5425358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602809440).

5425358400 is an abundant number, since it is smaller than the sum of its proper divisors (19780260480).

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

5425358400 is a wasteful number, since it uses less digits than its factorization.

5425358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5425358400 is about 73657.0322508313. The cubic root of 5425358400 is about 1757.1525927905.

The spelling of 5425358400 in words is "five billion, four hundred twenty-five million, three hundred fifty-eight thousand, four hundred".