536037120000 has 1440 divisors, whose sum is σ = 2128718592000. Its totient is φ = 129392640000.

The previous prime is 536037119999. The next prime is 536037120013. The reversal of 536037120000 is 21730635.

It is a happy number.

536037120000 is a `hidden beast` number, since 53 + 603 + 7 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 6785279961 + ... + 6785280039.

It is an arithmetic number, because the mean of its divisors is an integer number (1478276800).

Almost surely, 2^536037120000 is an apocalyptic number.

536037120000 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 536037120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064359296000).

536037120000 is an abundant number, since it is smaller than the sum of its proper divisors (1592681472000).

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

536037120000 is a wasteful number, since it uses less digits than its factorization.

536037120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 536037120000 its reverse (21730635), we get a palindrome (536058850635).

The spelling of 536037120000 in words is "five hundred thirty-six billion, thirty-seven million, one hundred twenty thousand".