506971483200 has 3024 divisors, whose sum is σ = 2470150650240. Its totient is φ = 101165137920.

The previous prime is 506971483171. The next prime is 506971483211. The reversal of 506971483200 is 2384179605.

506971483200 is a `hidden beast` number, since 506 + 9 + 71 + 48 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5696308756 + ... + 5696308844.

It is an arithmetic number, because the mean of its divisors is an integer number (816848760).

It is a 1-persistent number, because it is pandigital, but 2⋅506971483200 = 1013942966400 is not.

Almost surely, 2^506971483200 is an apocalyptic number.

506971483200 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 506971483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235075325120).

506971483200 is an abundant number, since it is smaller than the sum of its proper divisors (1963179167040).

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

506971483200 is a wasteful number, since it uses less digits than its factorization.

506971483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 506971483200 in words is "five hundred six billion, nine hundred seventy-one million, four hundred eighty-three thousand, two hundred".