536523062544 has 360 divisors, whose sum is σ = 1798309543680. Its totient is φ = 148780509696.

The previous prime is 536523062531. The next prime is 536523062557. The reversal of 536523062544 is 445260325635.

536523062544 is a `hidden beast` number, since 5 + 365 + 2 + 30 + 6 + 254 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (536523062531) and next prime (536523062557).

It is a self number, because there is not a number n which added to its sum of digits gives 536523062544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115652577 + ... + 115657215.

It is an arithmetic number, because the mean of its divisors is an integer number (4995304288).

Almost surely, 2^536523062544 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 536523062544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899154771840).

536523062544 is an abundant number, since it is smaller than the sum of its proper divisors (1261786481136).

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

536523062544 is a wasteful number, since it uses less digits than its factorization.

536523062544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 536523062544 in words is "five hundred thirty-six billion, five hundred twenty-three million, sixty-two thousand, five hundred forty-four".