505116610000 has 100 divisors (see below), whose sum is σ = 1223574355872. Its totient is φ = 201941488000.

The previous prime is 505116609989. The next prime is 505116610007. The reversal of 505116610000 is 16611505.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505116610007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20857899 + ... + 20882101.

Almost surely, 2^505116610000 is an apocalyptic number.

505116610000 is a gapful number since it is divisible by the number (50) 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 505116610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611787177936).

505116610000 is an abundant number, since it is smaller than the sum of its proper divisors (718457745872).

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

505116610000 is a wasteful number, since it uses less digits than its factorization.

505116610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26318 (or 26297 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 505116610000 in words is "five hundred five billion, one hundred sixteen million, six hundred ten thousand".