10012610543712 has 768 divisors, whose sum is σ = 32249761689600. Its totient is φ = 2716158541824.

The previous prime is 10012610543659. The next prime is 10012610543713. The reversal of 10012610543712 is 21734501621001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012610543713) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9160667838 + ... + 9160668930.

It is an arithmetic number, because the mean of its divisors is an integer number (41991877200).

Almost surely, 2^{10012610543712} is an apocalyptic number.

10012610543712 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 10012610543712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124880844800).

10012610543712 is an abundant number, since it is smaller than the sum of its proper divisors (22237151145888).

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

10012610543712 is a wasteful number, since it uses less digits than its factorization.

10012610543712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10012610543712 in words is "ten trillion, twelve billion, six hundred ten million, five hundred forty-three thousand, seven hundred twelve".