12851576640 has 560 divisors, whose sum is σ = 52659881472. Its totient is φ = 2914320384.

The previous prime is 12851576627. The next prime is 12851576641. The reversal of 12851576640 is 4667515821.

12851576640 is a `hidden beast` number, since 1 + 2 + 8 + 515 + 76 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12851576641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35017737 + ... + 35018103.

Almost surely, 2^12851576640 is an apocalyptic number.

12851576640 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 12851576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26329940736).

12851576640 is an abundant number, since it is smaller than the sum of its proper divisors (39808304832).

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

12851576640 is a wasteful number, since it uses less digits than its factorization.

12851576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12851576640 in words is "twelve billion, eight hundred fifty-one million, five hundred seventy-six thousand, six hundred forty".