80507755984320 has 896 divisors, whose sum is σ = 326118814156800. Its totient is φ = 18315091574784.

The previous prime is 80507755984319. The next prime is 80507755984343. The reversal of 80507755984320 is 2348955770508.

80507755984320 is a `hidden beast` number, since 8 + 0 + 5 + 0 + 7 + 7 + 5 + 598 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16072617976 + ... + 16072622984.

It is an arithmetic number, because the mean of its divisors is an integer number (363971890800).

Almost surely, 2^{80507755984320} is an apocalyptic number.

80507755984320 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 80507755984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163059407078400).

80507755984320 is an abundant number, since it is smaller than the sum of its proper divisors (245611058172480).

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

80507755984320 is a wasteful number, since it uses less digits than its factorization.

80507755984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 80507755984320 in words is "eighty trillion, five hundred seven billion, seven hundred fifty-five million, nine hundred eighty-four thousand, three hundred twenty".