508989992940 has 1536 divisors, whose sum is σ = 2060090081280. Its totient is φ = 102419251200.

The previous prime is 508989992933. The next prime is 508989992963. The reversal of 508989992940 is 49299989805.

508989992940 is a `hidden beast` number, since 508 + 9 + 8 + 9 + 99 + 29 + 4 + 0 = 666.

It is a super-2 number, since 2×508989992940² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4007795157 + ... + 4007795283.

It is an arithmetic number, because the mean of its divisors is an integer number (1341204480).

Almost surely, 2^508989992940 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 508989992940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030045040640).

508989992940 is an abundant number, since it is smaller than the sum of its proper divisors (1551100088340).

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

508989992940 is a wasteful number, since it uses less digits than its factorization.

508989992940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 508989992940 in words is "five hundred eight billion, nine hundred eighty-nine million, nine hundred ninety-two thousand, nine hundred forty".