508491133920 has 960 divisors, whose sum is σ = 2283240960000. Its totient is φ = 105650334720.

The previous prime is 508491133889. The next prime is 508491133951. The reversal of 508491133920 is 29331194805.

It is a happy number.

508491133920 is a `hidden beast` number, since 5 + 0 + 8 + 491 + 133 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (508491133889) and next prime (508491133951).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48892881 + ... + 48903279.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376000).

Almost surely, 2^508491133920 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 508491133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141620480000).

508491133920 is an abundant number, since it is smaller than the sum of its proper divisors (1774749826080).

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

508491133920 is a wasteful number, since it uses less digits than its factorization.

508491133920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10458 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 508491 and 133920, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 508491133920 in words is "five hundred eight billion, four hundred ninety-one million, one hundred thirty-three thousand, nine hundred twenty".