12778941672 has 240 divisors, whose sum is σ = 42527453760. Its totient is φ = 3573025344.

The previous prime is 12778941661. The next prime is 12778941683. The reversal of 12778941672 is 27614987721.

12778941672 is a `hidden beast` number, since 12 + 77 + 89 + 416 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (12778941661) and next prime (12778941683).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1488063 + ... + 1496625.

It is an arithmetic number, because the mean of its divisors is an integer number (177197724).

Almost surely, 2^12778941672 is an apocalyptic number.

12778941672 is a gapful number since it is divisible by the number (12) 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 12778941672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263726880).

12778941672 is an abundant number, since it is smaller than the sum of its proper divisors (29748512088).

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

12778941672 is a wasteful number, since it uses less digits than its factorization.

12778941672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8642 (or 8622 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 12778941672 in words is "twelve billion, seven hundred seventy-eight million, nine hundred forty-one thousand, six hundred seventy-two".