12465653760 has 960 divisors, whose sum is σ = 54226972800. Its totient is φ = 2675441664.

The previous prime is 12465653737. The next prime is 12465653777. The reversal of 12465653760 is 6735656421.

12465653760 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 56 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110315464 + ... + 110315576.

It is an arithmetic number, because the mean of its divisors is an integer number (56486430).

Almost surely, 2^12465653760 is an apocalyptic number.

12465653760 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 12465653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27113486400).

12465653760 is an abundant number, since it is smaller than the sum of its proper divisors (41761319040).

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

12465653760 is a wasteful number, since it uses less digits than its factorization.

12465653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 12465653760 in words is "twelve billion, four hundred sixty-five million, six hundred fifty-three thousand, seven hundred sixty".