5268525120 has 560 divisors, whose sum is σ = 19959888960. Its totient is φ = 1316818944.

The previous prime is 5268525103. The next prime is 5268525151. The reversal of 5268525120 is 215258625.

It is a happy number.

5268525120 is a `hidden beast` number, since 5 + 2 + 6 + 8 + 525 + 120 = 666.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 32322159 + ... + 32322321.

Almost surely, 2^5268525120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979944480).

5268525120 is an abundant number, since it is smaller than the sum of its proper divisors (14691363840).

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

5268525120 is a wasteful number, since it uses less digits than its factorization.

5268525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5268525120 is about 72584.6066325361. The cubic root of 5268525120 is about 1740.0551706645.

The spelling of 5268525120 in words is "five billion, two hundred sixty-eight million, five hundred twenty-five thousand, one hundred twenty".