12621735643500 has 192 divisors, whose sum is σ = 41074394175360. Its totient is φ = 3346340083200.

The previous prime is 12621735643457. The next prime is 12621735643513. The reversal of 12621735643500 is 534653712621.

12621735643500 is a `hidden beast` number, since 1 + 2 + 6 + 21 + 73 + 56 + 4 + 3 + 500 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366649 + ... + 5037648.

It is an arithmetic number, because the mean of its divisors is an integer number (213929136330).

Almost surely, 2^{12621735643500} is an apocalyptic number.

12621735643500 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 12621735643500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537197087680).

12621735643500 is an abundant number, since it is smaller than the sum of its proper divisors (28452658531860).

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

12621735643500 is a wasteful number, since it uses less digits than its factorization.

12621735643500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404498 (or 5404480 counting only the distinct ones).

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

The spelling of 12621735643500 in words is "twelve trillion, six hundred twenty-one billion, seven hundred thirty-five million, six hundred forty-three thousand, five hundred".