5207065197120 has 672 divisors, whose sum is σ = 18830846361600. Its totient is φ = 1369424517120.

The previous prime is 5207065197083. The next prime is 5207065197149. The reversal of 5207065197120 is 217915607025.

5207065197120 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 0 + 6 + 519 + 7 + 120 = 666.

It is a super-2 number, since 2×5207065197120² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2170513681 + ... + 2170516079.

It is an arithmetic number, because the mean of its divisors is an integer number (28022092800).

Almost surely, 2^{5207065197120} 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 5207065197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9415423180800).

5207065197120 is an abundant number, since it is smaller than the sum of its proper divisors (13623781164480).

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

5207065197120 is a wasteful number, since it uses less digits than its factorization.

5207065197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 5207065197120 in words is "five trillion, two hundred seven billion, sixty-five million, one hundred ninety-seven thousand, one hundred twenty".