5101824000 has 768 divisors, whose sum is σ = 21178160640. Its totient is φ = 1061683200.

The previous prime is 5101823989. The next prime is 5101824001. The reversal of 5101824000 is 4281015.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5101824001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69887964 + ... + 69888036.

It is an arithmetic number, because the mean of its divisors is an integer number (27575730).

Almost surely, 2^5101824000 is an apocalyptic number.

5101824000 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 5101824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589080320).

5101824000 is an abundant number, since it is smaller than the sum of its proper divisors (16076336640).

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

5101824000 is a wasteful number, since it uses less digits than its factorization.

5101824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5101824000 is about 71427.0536981612. The cubic root of 5101824000 is about 1721.5058023022.

The spelling of 5101824000 in words is "five billion, one hundred one million, eight hundred twenty-four thousand".