12780942090 has 64 divisors (see below), whose sum is σ = 35154155520. Its totient is φ = 2913203520.

The previous prime is 12780942077. The next prime is 12780942143. The reversal of 12780942090 is 9024908721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9376 + ... + 160155.

It is an arithmetic number, because the mean of its divisors is an integer number (549283680).

Almost surely, 2^12780942090 is an apocalyptic number.

12780942090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12780942090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577077760).

12780942090 is an abundant number, since it is smaller than the sum of its proper divisors (22373213430).

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

12780942090 is a wasteful number, since it uses less digits than its factorization.

12780942090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169907.

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 12780942090 in words is "twelve billion, seven hundred eighty million, nine hundred forty-two thousand, ninety".