506690688000 has 704 divisors, whose sum is σ = 1936470122496. Its totient is φ = 115200000000.

The previous prime is 506690687977. The next prime is 506690688019. The reversal of 506690688000 is 886096605.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 674687625 + ... + 674688375.

Almost surely, 2^506690688000 is an apocalyptic number.

506690688000 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 506690688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968235061248).

506690688000 is an abundant number, since it is smaller than the sum of its proper divisors (1429779434496).

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

506690688000 is a wasteful number, since it uses less digits than its factorization.

506690688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 506690688000 in words is "five hundred six billion, six hundred ninety million, six hundred eighty-eight thousand".