505090152000 has 672 divisors, whose sum is σ = 2115354818304. Its totient is φ = 112628736000.

The previous prime is 505090151963. The next prime is 505090152031. The reversal of 505090152000 is 251090505.

505090152000 is a `hidden beast` number, since 5 + 0 + 50 + 90 + 1 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 20651779 + ... + 20676221.

It is an arithmetic number, because the mean of its divisors is an integer number (3147849432).

Almost surely, 2^505090152000 is an apocalyptic number.

505090152000 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 505090152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057677409152).

505090152000 is an abundant number, since it is smaller than the sum of its proper divisors (1610264666304).

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

505090152000 is a wasteful number, since it uses less digits than its factorization.

505090152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24524 (or 24501 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 505090152000 in words is "five hundred five billion, ninety million, one hundred fifty-two thousand".