205553454510400 has 84 divisors (see below), whose sum is σ = 505835509760028. Its totient is φ = 82213978685440.

The previous prime is 205553454510359. The next prime is 205553454510407. The reversal of 205553454510400 is 4015454355502.

205553454510400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 35228403363904 + 170325051146496 = 5935352^2 + 13050864^2 .

It is a super-2 number, since 2×205553454510400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205553454510407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12009072 + ... + 23565328.

It is an arithmetic number, because the mean of its divisors is an integer number (6021851306667).

Almost surely, 2^{205553454510400} is an apocalyptic number.

205553454510400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205553454510400 is an abundant number, since it is smaller than the sum of its proper divisors (300282055249628).

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

205553454510400 is a wasteful number, since it uses less digits than its factorization.

205553454510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11567396 (or 11567381 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 205553454510400 in words is "two hundred five trillion, five hundred fifty-three billion, four hundred fifty-four million, five hundred ten thousand, four hundred".