506181888000 has 1152 divisors, whose sum is σ = 1987803417600. Its totient is φ = 123420672000.

The previous prime is 506181887993. The next prime is 506181888029. The reversal of 506181888000 is 888181605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1357055814 + ... + 1357056186.

It is an arithmetic number, because the mean of its divisors is an integer number (1725523800).

Almost surely, 2^506181888000 is an apocalyptic number.

506181888000 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 506181888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993901708800).

506181888000 is an abundant number, since it is smaller than the sum of its proper divisors (1481621529600).

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

506181888000 is a wasteful number, since it uses less digits than its factorization.

506181888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 506181888000 in words is "five hundred six billion, one hundred eighty-one million, eight hundred eighty-eight thousand".