80069416558320 has 640 divisors, whose sum is σ = 307538744832000. Its totient is φ = 17192892100608.

The previous prime is 80069416558297. The next prime is 80069416558361. The reversal of 80069416558320 is 2385561496008.

It is a super-2 number, since 2×80069416558320² (a number of 29 digits) contains 22 as substring.

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, 87876117 + ... + 88782603.

It is an arithmetic number, because the mean of its divisors is an integer number (480529288800).

Almost surely, 2^{80069416558320} is an apocalyptic number.

80069416558320 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 80069416558320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153769372416000).

80069416558320 is an abundant number, since it is smaller than the sum of its proper divisors (227469328273680).

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

80069416558320 is a wasteful number, since it uses less digits than its factorization.

80069416558320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906590 (or 906570 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 80069416558320 in words is "eighty trillion, sixty-nine billion, four hundred sixteen million, five hundred fifty-eight thousand, three hundred twenty".