5071772160 has 960 divisors, whose sum is σ = 22521058560. Its totient is φ = 1026293760.

The previous prime is 5071772137. The next prime is 5071772161. The reversal of 5071772160 is 612771705.

5071772160 is a `hidden beast` number, since 507 + 1 + 77 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (5071772161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85962211 + ... + 85962269.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^5071772160 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 5071772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260529280).

5071772160 is an abundant number, since it is smaller than the sum of its proper divisors (17449286400).

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

5071772160 is a wasteful number, since it uses less digits than its factorization.

5071772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 5071772160 is about 71216.3756449316. The cubic root of 5071772160 is about 1718.1190181739.

The spelling of 5071772160 in words is "five billion, seventy-one million, seven hundred seventy-two thousand, one hundred sixty".