12551088672 has 240 divisors, whose sum is σ = 37825204032. Its totient is φ = 4081466880.

The previous prime is 12551088631. The next prime is 12551088689. The reversal of 12551088672 is 27688015521.

12551088672 is a `hidden beast` number, since 12 + 551 + 0 + 8 + 86 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25772013 + ... + 25772499.

Almost surely, 2^12551088672 is an apocalyptic number.

12551088672 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 12551088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912602016).

12551088672 is an abundant number, since it is smaller than the sum of its proper divisors (25274115360).

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

12551088672 is a wasteful number, since it uses less digits than its factorization.

12551088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12551088672 in words is "twelve billion, five hundred fifty-one million, eighty-eight thousand, six hundred seventy-two".