8201141760 has 960 divisors, whose sum is σ = 34034964480. Its totient is φ = 1672151040.

The previous prime is 8201141749. The next prime is 8201141783. The reversal of 8201141760 is 671411028.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221652462 + ... + 221652498.

It is an arithmetic number, because the mean of its divisors is an integer number (35453088).

Almost surely, 2^8201141760 is an apocalyptic number.

8201141760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017482240).

8201141760 is an abundant number, since it is smaller than the sum of its proper divisors (25833822720).

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

8201141760 is a wasteful number, since it uses less digits than its factorization.

8201141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8201141760 is about 90560.1554768983. The cubic root of 8201141760 is about 2016.6232640827.

Adding to 8201141760 its reverse (671411028), we get a palindrome (8872552788).

The spelling of 8201141760 in words is "eight billion, two hundred one million, one hundred forty-one thousand, seven hundred sixty".