508478310000 has 1000 divisors, whose sum is σ = 1922381678448. Its totient is φ = 129600000000.

The previous prime is 508478309987. The next prime is 508478310037. The reversal of 508478310000 is 13874805.

508478310000 is a `hidden beast` number, since 508 + 47 + 8 + 3 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×508478310000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2025809875 + ... + 2025810125.

Almost surely, 2^508478310000 is an apocalyptic number.

508478310000 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 508478310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961190839224).

508478310000 is an abundant number, since it is smaller than the sum of its proper divisors (1413903368448).

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

508478310000 is a wasteful number, since it uses less digits than its factorization.

508478310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 508478310000 in words is "five hundred eight billion, four hundred seventy-eight million, three hundred ten thousand".