12851177472 has 864 divisors, whose sum is σ = 48938722560. Its totient is φ = 3344302080.

The previous prime is 12851177461. The next prime is 12851177513. The reversal of 12851177472 is 27477115821.

It is a happy number.

12851177472 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 1 + 177 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414554097 + ... + 414554127.

It is an arithmetic number, because the mean of its divisors is an integer number (56642040).

Almost surely, 2^12851177472 is an apocalyptic number.

12851177472 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 12851177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24469361280).

12851177472 is an abundant number, since it is smaller than the sum of its proper divisors (36087545088).

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

12851177472 is an equidigital number, since it uses as much as digits as its factorization.

12851177472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its digits is 219520, while the sum is 45.

The spelling of 12851177472 in words is "twelve billion, eight hundred fifty-one million, one hundred seventy-seven thousand, four hundred seventy-two".