536005961568 has 288 divisors, whose sum is σ = 1965917640960. Its totient is φ = 134421396480.

The previous prime is 536005961551. The next prime is 536005961581. The reversal of 536005961568 is 865169500635.

It is a happy number.

536005961568 is a `hidden beast` number, since 5 + 36 + 0 + 0 + 596 + 15 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226371 + ... + 1059837.

It is an arithmetic number, because the mean of its divisors is an integer number (6826102920).

Almost surely, 2^536005961568 is an apocalyptic number.

536005961568 is a gapful number since it is divisible by the number (58) 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 536005961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982958820480).

536005961568 is an abundant number, since it is smaller than the sum of its proper divisors (1429911679392).

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

536005961568 is a wasteful number, since it uses less digits than its factorization.

536005961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833530 (or 833519 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 536005961568 in words is "five hundred thirty-six billion, five million, nine hundred sixty-one thousand, five hundred sixty-eight".