12780085720080 has 480 divisors, whose sum is σ = 50371666007040. Its totient is φ = 2660640030720.

The previous prime is 12780085720001. The next prime is 12780085720091. The reversal of 12780085720080 is 8002758008721.

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, 5166456 + ... + 7228584.

It is an arithmetic number, because the mean of its divisors is an integer number (104940970848).

Almost surely, 2^{12780085720080} is an apocalyptic number.

12780085720080 is a gapful number since it is divisible by the number (10) 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 12780085720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185833003520).

12780085720080 is an abundant number, since it is smaller than the sum of its proper divisors (37591580286960).

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

12780085720080 is a wasteful number, since it uses less digits than its factorization.

12780085720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062207 (or 2062194 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The spelling of 12780085720080 in words is "twelve trillion, seven hundred eighty billion, eighty-five million, seven hundred twenty thousand, eighty".