501055556000 has 96 divisors (see below), whose sum is σ = 1231880085072. Its totient is φ = 200294169600.

The previous prime is 501055555937. The next prime is 501055556039. The reversal of 501055556000 is 655550105.

It can be written as a sum of positive squares in 8 ways, for example, as 9267527824 + 491788028176 = 96268^2 + 701276^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6348782 + ... + 6427218.

Almost surely, 2^501055556000 is an apocalyptic number.

501055556000 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 501055556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615940042536).

501055556000 is an abundant number, since it is smaller than the sum of its proper divisors (730824529072).

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

501055556000 is a wasteful number, since it uses less digits than its factorization.

501055556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80059 (or 80041 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 501055556000 in words is "five hundred one billion, fifty-five million, five hundred fifty-six thousand".