5048064000 has 576 divisors, whose sum is σ = 20861305920. Its totient is φ = 1150156800.

The previous prime is 5048063983. The next prime is 5048064037. The reversal of 5048064000 is 4608405.

It is a tau number, because it is divible by the number of its divisors (576).

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, 16127844 + ... + 16128156.

It is an arithmetic number, because the mean of its divisors is an integer number (36217545).

Almost surely, 2^5048064000 is an apocalyptic number.

5048064000 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 5048064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10430652960).

5048064000 is an abundant number, since it is smaller than the sum of its proper divisors (15813241920).

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

5048064000 is a wasteful number, since it uses less digits than its factorization.

5048064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

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

The square root of 5048064000 is about 71049.7290635228. The cubic root of 5048064000 is about 1715.4377018897.

The spelling of 5048064000 in words is "five billion, forty-eight million, sixty-four thousand".