505556000976 has 160 divisors (see below), whose sum is σ = 1472305766400. Its totient is φ = 148417113600.

The previous prime is 505556000933. The next prime is 505556000977. The reversal of 505556000976 is 679000655505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505556000977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189375 + ... + 1557473.

It is an arithmetic number, because the mean of its divisors is an integer number (9201911040).

Almost surely, 2^505556000976 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 505556000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736152883200).

505556000976 is an abundant number, since it is smaller than the sum of its proper divisors (966749765424).

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

505556000976 is a wasteful number, since it uses less digits than its factorization.

505556000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368225 (or 368219 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 48.

The spelling of 505556000976 in words is "five hundred five billion, five hundred fifty-six million, nine hundred seventy-six", and thus it is an aban number.