505793108096 has 128 divisors (see below), whose sum is σ = 1039851648000. Its totient is φ = 244963491840.

The previous prime is 505793108087. The next prime is 505793108113. The reversal of 505793108096 is 690801397505.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157223480 + ... + 157226696.

It is an arithmetic number, because the mean of its divisors is an integer number (8123841000).

Almost surely, 2^505793108096 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 505793108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519925824000).

505793108096 is an abundant number, since it is smaller than the sum of its proper divisors (534058539904).

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

505793108096 is a wasteful number, since it uses less digits than its factorization.

505793108096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 505793108096 in words is "five hundred five billion, seven hundred ninety-three million, one hundred eight thousand, ninety-six".