12780467185920 has 1152 divisors, whose sum is σ = 49803346575360. Its totient is φ = 2728353300480.

The previous prime is 12780467185907. The next prime is 12780467185931. The reversal of 12780467185920 is 2958176408721.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14809347409 + ... + 14809348271.

It is an arithmetic number, because the mean of its divisors is an integer number (43232071680).

Almost surely, 2^{12780467185920} is an apocalyptic number.

12780467185920 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 12780467185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24901673287680).

12780467185920 is an abundant number, since it is smaller than the sum of its proper divisors (37022879389440).

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

12780467185920 is a wasteful number, since it uses less digits than its factorization.

12780467185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 60.

The spelling of 12780467185920 in words is "twelve trillion, seven hundred eighty billion, four hundred sixty-seven million, one hundred eighty-five thousand, nine hundred twenty".