536042940106752 has 720 divisors, whose sum is σ = 1825009364178000. Its totient is φ = 156255276662784.

The previous prime is 536042940106721. The next prime is 536042940106757. The reversal of 536042940106752 is 257601049240635.

It is a happy number.

536042940106752 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 429 + 40 + 106 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (536042940106757) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 532163199 + ... + 533169537.

It is an arithmetic number, because the mean of its divisors is an integer number (2534735228025).

Almost surely, 2^{536042940106752} is an apocalyptic number.

536042940106752 is a gapful number since it is divisible by the number (52) 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 536042940106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912504682089000).

536042940106752 is an abundant number, since it is smaller than the sum of its proper divisors (1288966424071248).

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

536042940106752 is a wasteful number, since it uses less digits than its factorization.

536042940106752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006418 (or 1006376 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 536042940106752 in words is "five hundred thirty-six trillion, forty-two billion, nine hundred forty million, one hundred six thousand, seven hundred fifty-two".