10012105025460 has 288 divisors, whose sum is σ = 31289726587392. Its totient is φ = 2590104115200.

The previous prime is 10012105025459. The next prime is 10012105025513. The reversal of 10012105025460 is 6452050121001.

10012105025460 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 105 + 0 + 2 + 546 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812466859 + ... + 812479181.

It is an arithmetic number, because the mean of its divisors is an integer number (108644883984).

Almost surely, 2^{10012105025460} is an apocalyptic number.

10012105025460 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 10012105025460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644863293696).

10012105025460 is an abundant number, since it is smaller than the sum of its proper divisors (21277621561932).

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

10012105025460 is a wasteful number, since it uses less digits than its factorization.

10012105025460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13223 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10012105025460 its reverse (6452050121001), we get a palindrome (16464155146461).

The spelling of 10012105025460 in words is "ten trillion, twelve billion, one hundred five million, twenty-five thousand, four hundred sixty".