526315240000 has 420 divisors, whose sum is σ = 1512776319120. Its totient is φ = 180085760000.

The previous prime is 526315239899. The next prime is 526315240013. The reversal of 526315240000 is 42513625.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 127157931 + ... + 127162069.

Almost surely, 2^526315240000 is an apocalyptic number.

526315240000 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 526315240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756388159560).

526315240000 is an abundant number, since it is smaller than the sum of its proper divisors (986461079120).

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

526315240000 is a wasteful number, since it uses less digits than its factorization.

526315240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 526315240000 its reverse (42513625), we get a palindrome (526357753625).

It can be divided in two parts, 52631 and 5240000, that added together give a triangular number (5292631 = T₃₂₅₃).

The spelling of 526315240000 in words is "five hundred twenty-six billion, three hundred fifteen million, two hundred forty thousand".