13203452766240 has 384 divisors, whose sum is σ = 50459505465600. Its totient is φ = 3197895966720.

The previous prime is 13203452766223. The next prime is 13203452766277. The reversal of 13203452766240 is 4266725430231.

13203452766240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 345 + 2 + 7 + 66 + 240 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51812256 + ... + 52066464.

It is an arithmetic number, because the mean of its divisors is an integer number (131404962150).

Almost surely, 2^{13203452766240} is an apocalyptic number.

13203452766240 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 13203452766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25229752732800).

13203452766240 is an abundant number, since it is smaller than the sum of its proper divisors (37256052699360).

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

13203452766240 is a wasteful number, since it uses less digits than its factorization.

13203452766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255337 (or 255323 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 13203452766240 in words is "thirteen trillion, two hundred three billion, four hundred fifty-two million, seven hundred sixty-six thousand, two hundred forty".