5096448000 has 672 divisors, whose sum is σ = 21263823360. Its totient is φ = 1150156800.

The previous prime is 5096447989. The next prime is 5096448011. The reversal of 5096448000 is 8446905.

5096448000 is a `hidden beast` number, since 5 + 0 + 9 + 644 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5096447989) and next prime (5096448011).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 64511961 + ... + 64512039.

Almost surely, 2^5096448000 is an apocalyptic number.

5096448000 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 5096448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631911680).

5096448000 is an abundant number, since it is smaller than the sum of its proper divisors (16167375360).

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

5096448000 is an equidigital number, since it uses as much as digits as its factorization.

5096448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5096448000 is about 71389.4109795003. The cubic root of 5096448000 is about 1720.9009161658.

The spelling of 5096448000 in words is "five billion, ninety-six million, four hundred forty-eight thousand".