526221015040 has 192 divisors, whose sum is σ = 1444134182400. Its totient is φ = 180276461568.

The previous prime is 526221015031. The next prime is 526221015083. The reversal of 526221015040 is 40510122625.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 134684767 + ... + 134688673.

It is an arithmetic number, because the mean of its divisors is an integer number (7521532200).

Almost surely, 2^526221015040 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 526221015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722067091200).

526221015040 is an abundant number, since it is smaller than the sum of its proper divisors (917913167360).

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

526221015040 is a wasteful number, since it uses less digits than its factorization.

526221015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 526221015040 its reverse (40510122625), we get a palindrome (566731137665).

The spelling of 526221015040 in words is "five hundred twenty-six billion, two hundred twenty-one million, fifteen thousand, forty".