5048956800 has 576 divisors, whose sum is σ = 19244184960. Its totient is φ = 1306368000.

The previous prime is 5048956799. The next prime is 5048956813. The reversal of 5048956800 is 86598405.

5048956800 is a `hidden beast` number, since 5 + 0 + 4 + 89 + 568 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33436725 + ... + 33436875.

Almost surely, 2^5048956800 is an apocalyptic number.

5048956800 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 5048956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622092480).

5048956800 is an abundant number, since it is smaller than the sum of its proper divisors (14195228160).

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

5048956800 is a wasteful number, since it uses less digits than its factorization.

5048956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5048956800 is about 71056.0117090736. The cubic root of 5048956800 is about 1715.5388266311.

The spelling of 5048956800 in words is "five billion, forty-eight million, nine hundred fifty-six thousand, eight hundred".