5425509600 has 576 divisors, whose sum is σ = 22753543680. Its totient is φ = 1237317120.

The previous prime is 5425509599. The next prime is 5425509611. The reversal of 5425509600 is 69055245.

5425509600 is a `hidden beast` number, since 5 + 42 + 5 + 5 + 0 + 9 + 600 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12246979 + ... + 12247421.

It is an arithmetic number, because the mean of its divisors is an integer number (39502680).

Almost surely, 2^5425509600 is an apocalyptic number.

5425509600 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 5425509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376771840).

5425509600 is an abundant number, since it is smaller than the sum of its proper divisors (17328034080).

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

5425509600 is an equidigital number, since it uses as much as digits as its factorization.

5425509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5425509600 is about 73658.0586222580. The cubic root of 5425509600 is about 1757.1689160748.

The spelling of 5425509600 in words is "five billion, four hundred twenty-five million, five hundred nine thousand, six hundred".