12410952576 has 192 divisors, whose sum is σ = 36530524800. Its totient is φ = 3730355200.

The previous prime is 12410952569. The next prime is 12410952623. The reversal of 12410952576 is 67525901421.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6085765 + ... + 6087803.

It is an arithmetic number, because the mean of its divisors is an integer number (190263150).

Almost surely, 2^12410952576 is an apocalyptic number.

12410952576 is a gapful number since it is divisible by the number (16) 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 12410952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265262400).

12410952576 is an abundant number, since it is smaller than the sum of its proper divisors (24119572224).

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

12410952576 is a wasteful number, since it uses less digits than its factorization.

12410952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 12410952576 in words is "twelve billion, four hundred ten million, nine hundred fifty-two thousand, five hundred seventy-six".