508899743352 has 576 divisors, whose sum is σ = 1894336385760. Its totient is φ = 121318041600.

The previous prime is 508899743291. The next prime is 508899743381. The reversal of 508899743352 is 253347998805.

508899743352 is a `hidden beast` number, since 50 + 88 + 99 + 74 + 3 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 508899743352.

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 143 ways as a sum of consecutive naturals, for example, 91312438 + ... + 91318010.

Almost surely, 2^508899743352 is an apocalyptic number.

508899743352 is a gapful number since it is divisible by the number (52) 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 508899743352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947168192880).

508899743352 is an abundant number, since it is smaller than the sum of its proper divisors (1385436642408).

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

508899743352 is a wasteful number, since it uses less digits than its factorization.

508899743352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 508899743352 in words is "five hundred eight billion, eight hundred ninety-nine million, seven hundred forty-three thousand, three hundred fifty-two".