11552205406401 has 24 divisors (see below), whose sum is σ = 18244566621216. Its totient is φ = 6985532211840.

The previous prime is 11552205406319. The next prime is 11552205406403. The reversal of 11552205406401 is 10460450225511.

11552205406401 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 2 + 0 + 5 + 4 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 11552205406401 - 2¹¹ = 11552205404353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11552205406403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131659240 + ... + 131746953.

It is an arithmetic number, because the mean of its divisors is an integer number (760190275884).

Almost surely, 2^{11552205406401} is an apocalyptic number.

11552205406401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11552205406401 is a deficient number, since it is larger than the sum of its proper divisors (6692361214815).

11552205406401 is a wasteful number, since it uses less digits than its factorization.

11552205406401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263406653 (or 263406650 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 11552205406401 in words is "eleven trillion, five hundred fifty-two billion, two hundred five million, four hundred six thousand, four hundred one".