5211065180160 has 896 divisors, whose sum is σ = 21296536934400. Its totient is φ = 1184201441280.

The previous prime is 5211065180159. The next prime is 5211065180161. The reversal of 5211065180160 is 610815601125.

5211065180160 is a `hidden beast` number, since 5 + 21 + 106 + 518 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5211065180159) and next prime (5211065180161).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5211065180161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1401198781 + ... + 1401202499.

It is an arithmetic number, because the mean of its divisors is an integer number (23768456400).

Almost surely, 2^{5211065180160} 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 5211065180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648268467200).

5211065180160 is an abundant number, since it is smaller than the sum of its proper divisors (16085471754240).

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

5211065180160 is a wasteful number, since it uses less digits than its factorization.

5211065180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 5211065180160 in words is "five trillion, two hundred eleven billion, sixty-five million, one hundred eighty thousand, one hundred sixty".