526016229120 has 432 divisors, whose sum is σ = 1911347343360. Its totient is φ = 138488942592.

The previous prime is 526016229071. The next prime is 526016229127. The reversal of 526016229120 is 21922610625.

526016229120 is a `hidden beast` number, since 5 + 2 + 6 + 0 + 1 + 622 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526016229127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24561457 + ... + 24582863.

Almost surely, 2^526016229120 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 526016229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955673671680).

526016229120 is an abundant number, since it is smaller than the sum of its proper divisors (1385331114240).

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

526016229120 is an equidigital number, since it uses as much as digits as its factorization.

526016229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21496 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 526016229120 its reverse (21922610625), we get a palindrome (547938839745).

The spelling of 526016229120 in words is "five hundred twenty-six billion, sixteen million, two hundred twenty-nine thousand, one hundred twenty".