12462753536640 has 512 divisors, whose sum is σ = 48181824864000. Its totient is φ = 3019373936640.

The previous prime is 12462753536627. The next prime is 12462753536713. The reversal of 12462753536640 is 4663535726421.

12462753536640 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 2 + 7 + 535 + 3 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314942776 + ... + 314982344.

Almost surely, 2^{12462753536640} is an apocalyptic number.

12462753536640 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 12462753536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24090912432000).

12462753536640 is an abundant number, since it is smaller than the sum of its proper divisors (35719071327360).

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

12462753536640 is a wasteful number, since it uses less digits than its factorization.

12462753536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41265 (or 41247 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 12462753536640 in words is "twelve trillion, four hundred sixty-two billion, seven hundred fifty-three million, five hundred thirty-six thousand, six hundred forty".