80109089424000 has 3840 divisors, whose sum is σ = 389024302867200. Its totient is φ = 16163429990400.

The previous prime is 80109089423969. The next prime is 80109089424019. The reversal of 80109089424000 is 42498090108.

80109089424000 is a `hidden beast` number, since 80 + 1 + 0 + 90 + 89 + 4 + 2 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18987693891 + ... + 18987698109.

It is an arithmetic number, because the mean of its divisors is an integer number (101308412205).

Almost surely, 2^{80109089424000} is an apocalyptic number.

80109089424000 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 80109089424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194512151433600).

80109089424000 is an abundant number, since it is smaller than the sum of its proper divisors (308915213443200).

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

80109089424000 is a wasteful number, since it uses less digits than its factorization.

80109089424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 80109089424000 in words is "eighty trillion, one hundred nine billion, eighty-nine million, four hundred twenty-four thousand".