11653365504040 has 64 divisors (see below), whose sum is σ = 28715594342400. Its totient is φ = 4229852604672.

The previous prime is 11653365504031. The next prime is 11653365504101. The reversal of 11653365504040 is 4040556335611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189887272 + ... + 189948631.

It is an arithmetic number, because the mean of its divisors is an integer number (448681161600).

Almost surely, 2^{11653365504040} is an apocalyptic number.

11653365504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11653365504040 is an abundant number, since it is smaller than the sum of its proper divisors (17062228838360).

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

11653365504040 is a wasteful number, since it uses less digits than its factorization.

11653365504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379835986 (or 379835982 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 11653365504040 in words is "eleven trillion, six hundred fifty-three billion, three hundred sixty-five million, five hundred four thousand, forty".