506986687152 has 240 divisors, whose sum is σ = 1591301507328. Its totient is φ = 149327608320.

The previous prime is 506986687147. The next prime is 506986687157. The reversal of 506986687152 is 251786689605.

506986687152 is a `hidden beast` number, since 506 + 9 + 8 + 6 + 6 + 8 + 71 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (506986687147) and next prime (506986687157).

It is a super-2 number, since 2×506986687152² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506986687152.

It is not an unprimeable number, because it can be changed into a prime (506986687157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65812933 + ... + 65820635.

Almost surely, 2^506986687152 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 506986687152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795650753664).

506986687152 is an abundant number, since it is smaller than the sum of its proper divisors (1084314820176).

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

506986687152 is a wasteful number, since it uses less digits than its factorization.

506986687152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 506986687152 in words is "five hundred six billion, nine hundred eighty-six million, six hundred eighty-seven thousand, one hundred fifty-two".