5071190211360 has 1152 divisors, whose sum is σ = 22450902050304. Its totient is φ = 1052380200960.

The previous prime is 5071190211331. The next prime is 5071190211377. The reversal of 5071190211360 is 631120911705.

It is a happy number.

5071190211360 is a `hidden beast` number, since 5 + 0 + 71 + 19 + 0 + 211 + 360 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215811132 + ... + 215834628.

It is an arithmetic number, because the mean of its divisors is an integer number (19488630252).

Almost surely, 2^{5071190211360} 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 5071190211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225451025152).

5071190211360 is an abundant number, since it is smaller than the sum of its proper divisors (17379711838944).

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

5071190211360 is a wasteful number, since it uses less digits than its factorization.

5071190211360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23608 (or 23588 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 5071190211360 in words is "five trillion, seventy-one billion, one hundred ninety million, two hundred eleven thousand, three hundred sixty".