12516825510 has 192 divisors, whose sum is σ = 40601433600. Its totient is φ = 2710340352.

The previous prime is 12516825493. The next prime is 12516825511. The reversal of 12516825510 is 1552861521.

12516825510 is a `hidden beast` number, since 1 + 2 + 516 + 82 + 55 + 10 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12516825511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303826 + ... + 342554.

It is an arithmetic number, because the mean of its divisors is an integer number (211465800).

Almost surely, 2^12516825510 is an apocalyptic number.

12516825510 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 12516825510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300716800).

12516825510 is an abundant number, since it is smaller than the sum of its proper divisors (28084608090).

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

12516825510 is a wasteful number, since it uses less digits than its factorization.

12516825510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38777 (or 38765 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 12516825510 in words is "twelve billion, five hundred sixteen million, eight hundred twenty-five thousand, five hundred ten".