508212472320 has 960 divisors, whose sum is σ = 2133749502720. Its totient is φ = 112312811520.

The previous prime is 508212472301. The next prime is 508212472333. The reversal of 508212472320 is 23274212805.

508212472320 is a `hidden beast` number, since 50 + 8 + 212 + 4 + 72 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464969694 + ... + 464970786.

It is an arithmetic number, because the mean of its divisors is an integer number (2222655732).

Almost surely, 2^508212472320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508212472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066874751360).

508212472320 is an abundant number, since it is smaller than the sum of its proper divisors (1625537030400).

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

508212472320 is a wasteful number, since it uses less digits than its factorization.

508212472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 508212472320 in words is "five hundred eight billion, two hundred twelve million, four hundred seventy-two thousand, three hundred twenty".