5413248000 has 528 divisors, whose sum is σ = 20192001024. Its totient is φ = 1393459200.

The previous prime is 5413247989. The next prime is 5413248017. The reversal of 5413248000 is 8423145.

5413248000 is a `hidden beast` number, since 5 + 413 + 248 + 0 + 0 + 0 = 666.

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, 42623937 + ... + 42624063.

Almost surely, 2^5413248000 is an apocalyptic number.

5413248000 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 5413248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096000512).

5413248000 is an abundant number, since it is smaller than the sum of its proper divisors (14778753024).

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

5413248000 is a wasteful number, since it uses less digits than its factorization.

5413248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5413248000 is about 73574.7782871277. The cubic root of 5413248000 is about 1755.8441892806.

The spelling of 5413248000 in words is "five billion, four hundred thirteen million, two hundred forty-eight thousand".