13452967509120 has 192 divisors, whose sum is σ = 46905797764800. Its totient is φ = 3552628156416.

The previous prime is 13452967509073. The next prime is 13452967509217. The reversal of 13452967509120 is 2190576925431.

13452967509120 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 9 + 6 + 7 + 509 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10744510 + ... + 11931069.

It is an arithmetic number, because the mean of its divisors is an integer number (244301030025).

Almost surely, 2^{13452967509120} is an apocalyptic number.

13452967509120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13452967509120 is an abundant number, since it is smaller than the sum of its proper divisors (33452830255680).

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

13452967509120 is a wasteful number, since it uses less digits than its factorization.

13452967509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22675707 (or 22675692 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 13452967509120 in words is "thirteen trillion, four hundred fifty-two billion, nine hundred sixty-seven million, five hundred nine thousand, one hundred twenty".