80085604671072 has 1536 divisors, whose sum is σ = 320629155840000. Its totient is φ = 19164958525440.

The previous prime is 80085604671071. The next prime is 80085604671073. The reversal of 80085604671072 is 27017640658008.

80085604671072 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 560 + 4 + 6 + 7 + 1 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (80085604671071) and next prime (80085604671073).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80085604671071) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27249268579 + ... + 27249271517.

It is an arithmetic number, because the mean of its divisors is an integer number (208742940000).

Almost surely, 2^{80085604671072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80085604671072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160314577920000).

80085604671072 is an abundant number, since it is smaller than the sum of its proper divisors (240543551168928).

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

80085604671072 is a wasteful number, since it uses less digits than its factorization.

80085604671072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 80085604671072 in words is "eighty trillion, eighty-five billion, six hundred four million, six hundred seventy-one thousand, seventy-two".