12945369780 has 720 divisors, whose sum is σ = 51244489296. Its totient is φ = 2717245440.

The previous prime is 12945369779. The next prime is 12945369781. The reversal of 12945369780 is 8796354921.

12945369780 is a `hidden beast` number, since 1 + 29 + 4 + 536 + 9 + 7 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12945369779) and next prime (12945369781).

It can be written as a sum of positive squares in 8 ways, for example, as 285069456 + 12660300324 = 16884^2 + 112518^2 .

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 (12945369781) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71521290 + ... + 71521470.

It is a 1-persistent number, because it is pandigital, but 2⋅12945369780 = 25890739560 is not.

Almost surely, 2^12945369780 is an apocalyptic number.

12945369780 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 12945369780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25622244648).

12945369780 is an abundant number, since it is smaller than the sum of its proper divisors (38299119516).

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

12945369780 is a wasteful number, since it uses less digits than its factorization.

12945369780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12945369780 in words is "twelve billion, nine hundred forty-five million, three hundred sixty-nine thousand, seven hundred eighty".