5268152000 has 112 divisors (see below), whose sum is σ = 13109521152. Its totient is φ = 2097100800.

The previous prime is 5268151979. The next prime is 5268152039. The reversal of 5268152000 is 2518625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782524 + ... + 1785476.

It is an arithmetic number, because the mean of its divisors is an integer number (117049296).

Almost surely, 2^5268152000 is an apocalyptic number.

5268152000 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 5268152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554760576).

5268152000 is an abundant number, since it is smaller than the sum of its proper divisors (7841369152).

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

5268152000 is a wasteful number, since it uses less digits than its factorization.

5268152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5268152000 is about 72582.0363450902. The cubic root of 5268152000 is about 1740.0140924564.

The spelling of 5268152000 in words is "five billion, two hundred sixty-eight million, one hundred fifty-two thousand".