11553076072005 has 32 divisors (see below), whose sum is σ = 20233180410240. Its totient is φ = 5594427751680.

The previous prime is 11553076071997. The next prime is 11553076072037. The reversal of 11553076072005 is 50027067035511.

It is not a de Polignac number, because 11553076072005 - 2³ = 11553076071997 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 485615515 + ... + 485639304.

It is an arithmetic number, because the mean of its divisors is an integer number (632286887820).

Almost surely, 2^{11553076072005} is an apocalyptic number.

11553076072005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11553076072005 is a deficient number, since it is larger than the sum of its proper divisors (8680104338235).

11553076072005 is a wasteful number, since it uses less digits than its factorization.

11553076072005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971254901.

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 11553076072005 in words is "eleven trillion, five hundred fifty-three billion, seventy-six million, seventy-two thousand, five".