508484100096 has 896 divisors, whose sum is σ = 1826927308800. Its totient is φ = 136638627840.

The previous prime is 508484100079. The next prime is 508484100139. The reversal of 508484100096 is 690001484805.

508484100096 is a `hidden beast` number, since 508 + 48 + 4 + 10 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3881557951 + ... + 3881558081.

Almost surely, 2^508484100096 is an apocalyptic number.

508484100096 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 508484100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913463654400).

508484100096 is an abundant number, since it is smaller than the sum of its proper divisors (1318443208704).

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

508484100096 is a wasteful number, since it uses less digits than its factorization.

508484100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 508484100096 in words is "five hundred eight billion, four hundred eighty-four million, one hundred thousand, ninety-six".