506589871011840 has 1728 divisors, whose sum is σ = 2229592269864960. Its totient is φ = 105193783296000.

The previous prime is 506589871011787. The next prime is 506589871011883. The reversal of 506589871011840 is 48110178985605.

506589871011840 is a `hidden beast` number, since 5 + 0 + 6 + 589 + 8 + 7 + 1 + 0 + 1 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104862318225 + ... + 104862323055.

It is an arithmetic number, because the mean of its divisors is an integer number (1290273304320).

Almost surely, 2^{506589871011840} 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 506589871011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114796134932480).

506589871011840 is an abundant number, since it is smaller than the sum of its proper divisors (1723002398853120).

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

506589871011840 is a wasteful number, since it uses less digits than its factorization.

506589871011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 63.

The spelling of 506589871011840 in words is "five hundred six trillion, five hundred eighty-nine billion, eight hundred seventy-one million, eleven thousand, eight hundred forty".