5177285097120 has 288 divisors, whose sum is σ = 17713139043600. Its totient is φ = 1377046904832.

The previous prime is 5177285097109. The next prime is 5177285097221. The reversal of 5177285097120 is 217905827715.

5177285097120 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 2 + 8 + 509 + 7 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4343372773776 + 833912323344 = 2084076^2 + 913188^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054649226 + ... + 1054654134.

Almost surely, 2^{5177285097120} 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 5177285097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856569521800).

5177285097120 is an abundant number, since it is smaller than the sum of its proper divisors (12535853946480).

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

5177285097120 is a wasteful number, since it uses less digits than its factorization.

5177285097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 54.

The spelling of 5177285097120 in words is "five trillion, one hundred seventy-seven billion, two hundred eighty-five million, ninety-seven thousand, one hundred twenty".