507967161120 has 288 divisors, whose sum is σ = 1803537223488. Its totient is φ = 135013506048.

The previous prime is 507967161109. The next prime is 507967161137. The reversal of 507967161120 is 21161769705.

507967161120 is a `hidden beast` number, since 5 + 0 + 7 + 9 + 6 + 7 + 1 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11914882 + ... + 11957438.

It is an arithmetic number, because the mean of its divisors is an integer number (6262282026).

Almost surely, 2^507967161120 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 507967161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901768611744).

507967161120 is an abundant number, since it is smaller than the sum of its proper divisors (1295570062368).

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

507967161120 is a wasteful number, since it uses less digits than its factorization.

507967161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42894 (or 42874 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 507967161120 in words is "five hundred seven billion, nine hundred sixty-seven million, one hundred sixty-one thousand, one hundred twenty".