536103255888 has 240 divisors, whose sum is σ = 1588032585600. Its totient is φ = 173152512000.

The previous prime is 536103255881. The next prime is 536103255889. The reversal of 536103255888 is 888552301635.

It is a happy number.

536103255888 is a `hidden beast` number, since 5 + 3 + 6 + 1 + 0 + 3 + 2 + 558 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536103255881) 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 47 ways as a sum of consecutive naturals, for example, 109652548 + ... + 109657436.

It is an arithmetic number, because the mean of its divisors is an integer number (6616802440).

Almost surely, 2^536103255888 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 536103255888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794016292800).

536103255888 is an abundant number, since it is smaller than the sum of its proper divisors (1051929329712).

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

536103255888 is a wasteful number, since it uses less digits than its factorization.

536103255888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 536103255888 in words is "five hundred thirty-six billion, one hundred three million, two hundred fifty-five thousand, eight hundred eighty-eight".