8057169120 has 768 divisors, whose sum is σ = 34993244160. Its totient is φ = 1504051200.

The previous prime is 8057169101. The next prime is 8057169137. The reversal of 8057169120 is 219617508.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19699476 + ... + 19699884.

It is an arithmetic number, because the mean of its divisors is an integer number (45564120).

Almost surely, 2^8057169120 is an apocalyptic number.

8057169120 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 8057169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496622080).

8057169120 is an abundant number, since it is smaller than the sum of its proper divisors (26936075040).

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

8057169120 is a wasteful number, since it uses less digits than its factorization.

8057169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 8057169120 is about 89761.7352773441. The cubic root of 8057169120 is about 2004.7527898808.

The spelling of 8057169120 in words is "eight billion, fifty-seven million, one hundred sixty-nine thousand, one hundred twenty".