506287387872 has 384 divisors, whose sum is σ = 1728324864000. Its totient is φ = 141193248768.

The previous prime is 506287387861. The next prime is 506287387919. The reversal of 506287387872 is 278783782605.

506287387872 is a `hidden beast` number, since 50 + 62 + 87 + 387 + 8 + 72 = 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 63 ways as a sum of consecutive naturals, for example, 63784288 + ... + 63792224.

It is an arithmetic number, because the mean of its divisors is an integer number (4500846000).

Almost surely, 2^506287387872 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 506287387872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864162432000).

506287387872 is an abundant number, since it is smaller than the sum of its proper divisors (1222037476128).

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

506287387872 is a wasteful number, since it uses less digits than its factorization.

506287387872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 506287387872 in words is "five hundred six billion, two hundred eighty-seven million, three hundred eighty-seven thousand, eight hundred seventy-two".