5190827096160 has 288 divisors, whose sum is σ = 18291728931840. Its totient is φ = 1339083187200.

The previous prime is 5190827096111. The next prime is 5190827096179. The reversal of 5190827096160 is 616907280915.

5190827096160 is a `hidden beast` number, since 5 + 19 + 0 + 8 + 2 + 7 + 0 + 9 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5190827096097 and 5190827096106.

It is a congruent number.

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, 132605871 + ... + 132645009.

It is an arithmetic number, because the mean of its divisors is an integer number (63512947680).

Almost surely, 2^{5190827096160} 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 5190827096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145864465920).

5190827096160 is an abundant number, since it is smaller than the sum of its proper divisors (13100901835680).

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

5190827096160 is a wasteful number, since it uses less digits than its factorization.

5190827096160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42162 (or 42151 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 5190827096160 in words is "five trillion, one hundred ninety billion, eight hundred twenty-seven million, ninety-six thousand, one hundred sixty".