506715646590000 has 800 divisors, whose sum is σ = 1859136301946880. Its totient is φ = 132037516800000.

The previous prime is 506715646589989. The next prime is 506715646590029. The reversal of 506715646590000 is 95646517605.

506715646590000 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 1 + 5 + 6 + 46 + 590 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8007358360 + ... + 8007421640.

Almost surely, 2^{506715646590000} is an apocalyptic number.

506715646590000 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 506715646590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929568150973440).

506715646590000 is an abundant number, since it is smaller than the sum of its proper divisors (1352420655356880).

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

506715646590000 is a wasteful number, since it uses less digits than its factorization.

506715646590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63996 (or 63969 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 506715646590000 in words is "five hundred six trillion, seven hundred fifteen billion, six hundred forty-six million, five hundred ninety thousand".