80448195240000 has 840 divisors, whose sum is σ = 331282840656768. Its totient is φ = 18277954560000.

The previous prime is 80448195239983. The next prime is 80448195240001. The reversal of 80448195240000 is 4259184408.

80448195240000 is a `hidden beast` number, since 8 + 0 + 44 + 81 + 9 + 524 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (80448195240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 420744420 + ... + 420935580.

Almost surely, 2^{80448195240000} is an apocalyptic number.

80448195240000 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 80448195240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165641420328384).

80448195240000 is an abundant number, since it is smaller than the sum of its proper divisors (250834645416768).

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

80448195240000 is a wasteful number, since it uses less digits than its factorization.

80448195240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191373 (or 191345 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 80448195240000 in words is "eighty trillion, four hundred forty-eight billion, one hundred ninety-five million, two hundred forty thousand".