5048164800 has 504 divisors, whose sum is σ = 20867107872. Its totient is φ = 1133568000.

The previous prime is 5048164789. The next prime is 5048164831. The reversal of 5048164800 is 84618405.

5048164800 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 1 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 6148390 + ... + 6149210.

Almost surely, 2^5048164800 is an apocalyptic number.

5048164800 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 5048164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433553936).

5048164800 is an abundant number, since it is smaller than the sum of its proper divisors (15818943072).

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

5048164800 is a wasteful number, since it uses less digits than its factorization.

5048164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5048164800 is about 71050.4384222927. The cubic root of 5048164800 is about 1715.4491197963.

The spelling of 5048164800 in words is "five billion, forty-eight million, one hundred sixty-four thousand, eight hundred".