505054854000 has 240 divisors, whose sum is σ = 1764654465600. Its totient is φ = 134630438400.

The previous prime is 505054853981. The next prime is 505054854011. The reversal of 505054854000 is 458450505.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×505054854000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93543301 + ... + 93548699.

It is an arithmetic number, because the mean of its divisors is an integer number (7352726940).

Almost surely, 2^505054854000 is an apocalyptic number.

505054854000 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 505054854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882327232800).

505054854000 is an abundant number, since it is smaller than the sum of its proper divisors (1259599611600).

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

505054854000 is a wasteful number, since it uses less digits than its factorization.

505054854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10625 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 505054854000 in words is "five hundred five billion, fifty-four million, eight hundred fifty-four thousand".