80809230406240 has 384 divisors, whose sum is σ = 220965249576960. Its totient is φ = 27355743387648.

The previous prime is 80809230406217. The next prime is 80809230406249. The reversal of 80809230406240 is 4260403290808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80809230406249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23718586617 + ... + 23718590023.

It is an arithmetic number, because the mean of its divisors is an integer number (575430337440).

Almost surely, 2^{80809230406240} is an apocalyptic number.

80809230406240 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 80809230406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110482624788480).

80809230406240 is an abundant number, since it is smaller than the sum of its proper divisors (140156019170720).

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

80809230406240 is a wasteful number, since it uses less digits than its factorization.

80809230406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 80809230406240 in words is "eighty trillion, eight hundred nine billion, two hundred thirty million, four hundred six thousand, two hundred forty".