535314120000000 has 640 divisors, whose sum is σ = 1944695643441408. Its totient is φ = 129772800000000.

The previous prime is 535314119999959. The next prime is 535314120000013. The reversal of 535314120000000 is 21413535.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×535314120000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319797230 + ... + 1320202770.

Almost surely, 2^{535314120000000} is an apocalyptic number.

535314120000000 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 535314120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972347821720704).

535314120000000 is an abundant number, since it is smaller than the sum of its proper divisors (1409381523441408).

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

535314120000000 is an frugal number, since it uses more digits than its factorization.

535314120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405608 (or 405562 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 535314120000000 its reverse (21413535), we get a palindrome (535314141413535).

The spelling of 535314120000000 in words is "five hundred thirty-five trillion, three hundred fourteen billion, one hundred twenty million", and thus it is an aban number.