12651456510 has 288 divisors, whose sum is σ = 42767603424. Its totient is φ = 2564352000.

The previous prime is 12651456487. The next prime is 12651456511. The reversal of 12651456510 is 1565415621.

12651456510 is a `hidden beast` number, since 12 + 65 + 14 + 565 + 10 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12651456511) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1985730 + ... + 1992090.

It is an arithmetic number, because the mean of its divisors is an integer number (148498623).

Almost surely, 2^12651456510 is an apocalyptic number.

12651456510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12651456510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21383801712).

12651456510 is an abundant number, since it is smaller than the sum of its proper divisors (30116146914).

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

12651456510 is a wasteful number, since it uses less digits than its factorization.

12651456510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 12651456510 in words is "twelve billion, six hundred fifty-one million, four hundred fifty-six thousand, five hundred ten".