535034315164400 has 120 divisors (see below), whose sum is σ = 1330464769492320. Its totient is φ = 206522058695680.

The previous prime is 535034315164367. The next prime is 535034315164411. The reversal of 535034315164400 is 4461513430535.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8939102 + ... + 33911298.

It is an arithmetic number, because the mean of its divisors is an integer number (11087206412436).

Almost surely, 2^{535034315164400} is an apocalyptic number.

535034315164400 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 535034315164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665232384746160).

535034315164400 is an abundant number, since it is smaller than the sum of its proper divisors (795430454327920).

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

535034315164400 is a wasteful number, since it uses less digits than its factorization.

535034315164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24974091 (or 24974080 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

Adding to 535034315164400 its reverse (4461513430535), we get a palindrome (539495828594935).

The spelling of 535034315164400 in words is "five hundred thirty-five trillion, thirty-four billion, three hundred fifteen million, one hundred sixty-four thousand, four hundred".