80895417120 has 576 divisors, whose sum is σ = 330863823360. Its totient is φ = 18406047744.

The previous prime is 80895417103. The next prime is 80895417121. The reversal of 80895417120 is 2171459808.

80895417120 is a `hidden beast` number, since 8 + 0 + 89 + 541 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×80895417120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80895417121) 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, 54401017 + ... + 54402503.

It is an arithmetic number, because the mean of its divisors is an integer number (574416360).

Almost surely, 2^80895417120 is an apocalyptic number.

80895417120 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 80895417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165431911680).

80895417120 is an abundant number, since it is smaller than the sum of its proper divisors (249968406240).

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

80895417120 is a wasteful number, since it uses less digits than its factorization.

80895417120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 80895417120 in words is "eighty billion, eight hundred ninety-five million, four hundred seventeen thousand, one hundred twenty".