536296032000 has 576 divisors, whose sum is σ = 2043178475520. Its totient is φ = 138392064000.

The previous prime is 536296031983. The next prime is 536296032007. The reversal of 536296032000 is 230692635.

536296032000 is a `hidden beast` number, since 5 + 3 + 6 + 29 + 603 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×536296032000² (a number of 24 digits) contains 22 as substring.

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 (536296032007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26773989 + ... + 26794011.

Almost surely, 2^536296032000 is an apocalyptic number.

536296032000 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 536296032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021589237760).

536296032000 is an abundant number, since it is smaller than the sum of its proper divisors (1506882443520).

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

536296032000 is a wasteful number, since it uses less digits than its factorization.

536296032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20094 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 536296032000 in words is "five hundred thirty-six billion, two hundred ninety-six million, thirty-two thousand".