535251040000000 has 768 divisors, whose sum is σ = 1380907246118400. Its totient is φ = 207304704000000.

The previous prime is 535251039999967. The next prime is 535251040000009. The reversal of 535251040000000 is 40152535.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 535251040000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535251040000009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819679999674 + ... + 819680000326.

It is an arithmetic number, because the mean of its divisors is an integer number (1798056310050).

Almost surely, 2^{535251040000000} is an apocalyptic number.

535251040000000 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 535251040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690453623059200).

535251040000000 is an abundant number, since it is smaller than the sum of its proper divisors (845656206118400).

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

535251040000000 is an frugal number, since it uses more digits than its factorization.

535251040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 535251040000000 its reverse (40152535), we get a palindrome (535251080152535).

The spelling of 535251040000000 in words is "five hundred thirty-five trillion, two hundred fifty-one billion, forty million", and thus it is an aban number.