508347840000 has 2400 divisors, whose sum is σ = 2375259473664. Its totient is φ = 93265920000.

The previous prime is 508347839947. The next prime is 508347840019. The reversal of 508347840000 is 48743805.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22102079989 + ... + 22102080011.

Almost surely, 2^508347840000 is an apocalyptic number.

508347840000 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 508347840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187629736832).

508347840000 is an abundant number, since it is smaller than the sum of its proper divisors (1866911633664).

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

508347840000 is a wasteful number, since it uses less digits than its factorization.

508347840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 508347840000 in words is "five hundred eight billion, three hundred forty-seven million, eight hundred forty thousand".