80729945400000 has 672 divisors, whose sum is σ = 289425651572736. Its totient is φ = 19740096000000.

The previous prime is 80729945399989. The next prime is 80729945400023. The reversal of 80729945400000 is 454992708.

80729945400000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1177765729 + ... + 1177834271.

It is an arithmetic number, because the mean of its divisors is an integer number (430692933888).

Almost surely, 2^{80729945400000} is an apocalyptic number.

80729945400000 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 80729945400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144712825786368).

80729945400000 is an abundant number, since it is smaller than the sum of its proper divisors (208695706172736).

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

80729945400000 is a wasteful number, since it uses less digits than its factorization.

80729945400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68747 (or 68717 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 80729945400000 in words is "eighty trillion, seven hundred twenty-nine billion, nine hundred forty-five million, four hundred thousand".