505049509509696 has 224 divisors, whose sum is σ = 1512799956725760. Its totient is φ = 165192074611200.

The previous prime is 505049509509607. The next prime is 505049509509703. The reversal of 505049509509696 is 696905905940505.

505049509509696 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 4 + 9 + 50 + 9 + 509 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16132345 + ... + 35641991.

Almost surely, 2^{505049509509696} 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 505049509509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756399978362880).

505049509509696 is an abundant number, since it is smaller than the sum of its proper divisors (1007750447216064).

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

505049509509696 is a wasteful number, since it uses less digits than its factorization.

505049509509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19509950 (or 19509934 counting only the distinct ones).

The product of its (nonzero) digits is 590490000, while the sum is 72.

The spelling of 505049509509696 in words is "five hundred five trillion, forty-nine billion, five hundred nine million, five hundred nine thousand, six hundred ninety-six".