5001024000 has 480 divisors, whose sum is σ = 19319084928. Its totient is φ = 1124352000.

The previous prime is 5001023959. The next prime is 5001024013. The reversal of 5001024000 is 4201005.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 81983970 + ... + 81984030.

Almost surely, 2^5001024000 is an apocalyptic number.

5001024000 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 5001024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659542464).

5001024000 is an abundant number, since it is smaller than the sum of its proper divisors (14318060928).

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

5001024000 is an frugal number, since it uses more digits than its factorization.

5001024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5001024000 is about 70717.9185214045. The cubic root of 5001024000 is about 1710.0926730665.

Adding to 5001024000 its reverse (4201005), we get a palindrome (5005225005).

It can be divided in two parts, 500 and 1024000, that multiplied together give a cube (512000000 = 800³).

The spelling of 5001024000 in words is "five billion, one million, twenty-four thousand".