536323525920 has 1152 divisors, whose sum is σ = 2324093990400. Its totient is φ = 111902515200.

The previous prime is 536323525901. The next prime is 536323525921. The reversal of 536323525920 is 29525323635.

536323525920 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 2 + 3 + 52 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (536323525921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 648516547 + ... + 648517373.

It is an arithmetic number, because the mean of its divisors is an integer number (2017442700).

Almost surely, 2^536323525920 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 536323525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162046995200).

536323525920 is an abundant number, since it is smaller than the sum of its proper divisors (1787770464480).

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

536323525920 is a wasteful number, since it uses less digits than its factorization.

536323525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 536323525920 in words is "five hundred thirty-six billion, three hundred twenty-three million, five hundred twenty-five thousand, nine hundred twenty".