8069181120 has 1120 divisors, whose sum is σ = 38662880256. Its totient is φ = 1542758400.

The previous prime is 8069181089. The next prime is 8069181137. The reversal of 8069181120 is 211819608.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×8069181120² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945765 + ... + 25946075.

Almost surely, 2^8069181120 is an apocalyptic number.

8069181120 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 8069181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331440128).

8069181120 is an abundant number, since it is smaller than the sum of its proper divisors (30593699136).

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

8069181120 is a wasteful number, since it uses less digits than its factorization.

8069181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 8069181120 is about 89828.6208287759. The cubic root of 8069181120 is about 2005.7485545630.

The spelling of 8069181120 in words is "eight billion, sixty-nine million, one hundred eighty-one thousand, one hundred twenty".