507426283625856 has 2048 divisors, whose sum is σ = 1843285248000000. Its totient is φ = 122678537748480.

The previous prime is 507426283625801. The next prime is 507426283625917. The reversal of 507426283625856 is 658526382624705.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72791028451 + ... + 72791035421.

It is an arithmetic number, because the mean of its divisors is an integer number (900041625000).

Almost surely, 2^{507426283625856} is an apocalyptic number.

507426283625856 is a gapful number since it is divisible by the number (56) 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 507426283625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921642624000000).

507426283625856 is an abundant number, since it is smaller than the sum of its proper divisors (1335858964374144).

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

507426283625856 is a wasteful number, since it uses less digits than its factorization.

507426283625856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 69.

The spelling of 507426283625856 in words is "five hundred seven trillion, four hundred twenty-six billion, two hundred eighty-three million, six hundred twenty-five thousand, eight hundred fifty-six".