12610006456320 has 1536 divisors, whose sum is σ = 55748315750400. Its totient is φ = 2632634597376.

The previous prime is 12610006456291. The next prime is 12610006456357. The reversal of 12610006456320 is 2365460001621.

12610006456320 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 0 + 0 + 0 + 645 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2440486377 + ... + 2440491543.

It is an arithmetic number, because the mean of its divisors is an integer number (36294476400).

Almost surely, 2^{12610006456320} is an apocalyptic number.

12610006456320 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 12610006456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27874157875200).

12610006456320 is an abundant number, since it is smaller than the sum of its proper divisors (43138309294080).

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

12610006456320 is a wasteful number, since it uses less digits than its factorization.

12610006456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12610006456320 its reverse (2365460001621), we get a palindrome (14975466457941).

The spelling of 12610006456320 in words is "twelve trillion, six hundred ten billion, six million, four hundred fifty-six thousand, three hundred twenty".