80009721216000 has 1232 divisors, whose sum is σ = 309603461207040. Its totient is φ = 20599507353600.

The previous prime is 80009721215969. The next prime is 80009721216031. The reversal of 80009721216000 is 61212790008.

80009721216000 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 9 + 7 + 21 + 21 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80009721215969) and next prime (80009721216031).

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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2706033217 + ... + 2706062783.

It is an arithmetic number, because the mean of its divisors is an integer number (251301510720).

Almost surely, 2^{80009721216000} is an apocalyptic number.

80009721216000 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 80009721216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154801730603520).

80009721216000 is an abundant number, since it is smaller than the sum of its proper divisors (229593739991040).

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

80009721216000 is an equidigital number, since it uses as much as digits as its factorization.

80009721216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29649 (or 29606 counting only the distinct ones).

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

The spelling of 80009721216000 in words is "eighty trillion, nine billion, seven hundred twenty-one million, two hundred sixteen thousand".