503535368352 has 96 divisors (see below), whose sum is σ = 1337691801600. Its totient is φ = 165827616768.

The previous prime is 503535368293. The next prime is 503535368359. The reversal of 503535368352 is 253863535305.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (503535368359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11058849 + ... + 11104287.

It is an arithmetic number, because the mean of its divisors is an integer number (13934289600).

Almost surely, 2^503535368352 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 503535368352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668845900800).

503535368352 is an abundant number, since it is smaller than the sum of its proper divisors (834156433248).

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

503535368352 is a wasteful number, since it uses less digits than its factorization.

503535368352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46838 (or 46830 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 48.

The spelling of 503535368352 in words is "five hundred three billion, five hundred thirty-five million, three hundred sixty-eight thousand, three hundred fifty-two".