508098479616 has 1600 divisors, whose sum is σ = 1991048564736. Its totient is φ = 125411328000.

The previous prime is 508098479611. The next prime is 508098479627. The reversal of 508098479616 is 616974890805.

508098479616 is a `hidden beast` number, since 5 + 0 + 8 + 0 + 9 + 8 + 4 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508098479611) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5030677966 + ... + 5030678066.

Almost surely, 2^508098479616 is an apocalyptic number.

508098479616 is a gapful number since it is divisible by the number (56) 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 508098479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995524282368).

508098479616 is an abundant number, since it is smaller than the sum of its proper divisors (1482950085120).

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

508098479616 is a wasteful number, since it uses less digits than its factorization.

508098479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 508098479616 in words is "five hundred eight billion, ninety-eight million, four hundred seventy-nine thousand, six hundred sixteen".