508829040000000 has 3520 divisors, whose sum is σ = 2089853712460800. Its totient is φ = 122757120000000.

The previous prime is 508829039999999. The next prime is 508829040000011. The reversal of 508829040000000 is 40928805.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 508829040000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3414959999926 + ... + 3414960000074.

It is an arithmetic number, because the mean of its divisors is an integer number (593708441040).

Almost surely, 2^{508829040000000} is an apocalyptic number.

508829040000000 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 508829040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044926856230400).

508829040000000 is an abundant number, since it is smaller than the sum of its proper divisors (1581024672460800).

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

508829040000000 is an frugal number, since it uses more digits than its factorization.

508829040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 508829040000000 its reverse (40928805), we get a palindrome (508829080928805).

The spelling of 508829040000000 in words is "five hundred eight trillion, eight hundred twenty-nine billion, forty million", and thus it is an aban number.