5006971200 has 1344 divisors, whose sum is σ = 23221370880. Its totient is φ = 912384000.

The previous prime is 5006971183. The next prime is 5006971201. The reversal of 5006971200 is 21796005.

5006971200 = T₂₁₁ + T₂₁₂ + ... + T₃₁₀₈.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006971201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161515185 + ... + 161515215.

Almost surely, 2^5006971200 is an apocalyptic number.

5006971200 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 5006971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610685440).

5006971200 is an abundant number, since it is smaller than the sum of its proper divisors (18214399680).

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

5006971200 is a wasteful number, since it uses less digits than its factorization.

5006971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5006971200 is about 70759.9547766956. The cubic root of 5006971200 is about 1710.7702832470.

The spelling of 5006971200 in words is "five billion, six million, nine hundred seventy-one thousand, two hundred".