80190704160000 has 1440 divisors, whose sum is σ = 339247017204480. Its totient is φ = 18297556992000.

The previous prime is 80190704159977. The next prime is 80190704160023. The reversal of 80190704160000 is 6140709108.

80190704160000 is a `hidden beast` number, since 8 + 0 + 1 + 9 + 0 + 7 + 0 + 41 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80190704159977) and next prime (80190704160023).

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 159 ways as a sum of consecutive naturals, for example, 20472478042 + ... + 20472481958.

It is an arithmetic number, because the mean of its divisors is an integer number (235588206392).

Almost surely, 2^{80190704160000} is an apocalyptic number.

80190704160000 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 80190704160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169623508602240).

80190704160000 is an abundant number, since it is smaller than the sum of its proper divisors (259056313044480).

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

80190704160000 is an equidigital number, since it uses as much as digits as its factorization.

80190704160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 80190704160000 its reverse (6140709108), we get a palindrome (80196844869108).

The spelling of 80190704160000 in words is "eighty trillion, one hundred ninety billion, seven hundred four million, one hundred sixty thousand".