80125389812160 has 2240 divisors, whose sum is σ = 361615901746176. Its totient is φ = 16357220352000.

The previous prime is 80125389812159. The next prime is 80125389812257. The reversal of 80125389812160 is 6121898352108.

80125389812160 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 538 + 9 + 81 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 80125389812097 and 80125389812106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 80366488782 + ... + 80366489778.

Almost surely, 2^{80125389812160} is an apocalyptic number.

80125389812160 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 80125389812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180807950873088).

80125389812160 is an abundant number, since it is smaller than the sum of its proper divisors (281490511934016).

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

80125389812160 is a wasteful number, since it uses less digits than its factorization.

80125389812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 80125389812160 in words is "eighty trillion, one hundred twenty-five billion, three hundred eighty-nine million, eight hundred twelve thousand, one hundred sixty".