507104426085120 has 1152 divisors, whose sum is σ = 1889187845529600. Its totient is φ = 128563416317952.

The previous prime is 507104426085119. The next prime is 507104426085163. The reversal of 507104426085120 is 21580624401705.

507104426085120 is a `hidden beast` number, since 5 + 0 + 7 + 1 + 0 + 442 + 6 + 0 + 85 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92486669899 + ... + 92486675381.

It is an arithmetic number, because the mean of its divisors is an integer number (1639920004800).

Almost surely, 2^{507104426085120} 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 507104426085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944593922764800).

507104426085120 is an abundant number, since it is smaller than the sum of its proper divisors (1382083419444480).

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

507104426085120 is a wasteful number, since it uses less digits than its factorization.

507104426085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 507104426085120 in words is "five hundred seven trillion, one hundred four billion, four hundred twenty-six million, eighty-five thousand, one hundred twenty".