205553454510399 has 32 divisors (see below), whose sum is σ = 284852484000000. Its totient is φ = 131689713517824.

The previous prime is 205553454510359. The next prime is 205553454510407. The reversal of 205553454510399 is 993015454355502.

It is not a de Polignac number, because 205553454510399 - 2⁸ = 205553454510143 is a prime.

It is a super-2 number, since 2×205553454510399² (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 (205553454510319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67614427 + ... + 70589075.

It is an arithmetic number, because the mean of its divisors is an integer number (8901640125000).

Almost surely, 2^{205553454510399} is an apocalyptic number.

205553454510399 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

205553454510399 is a deficient number, since it is larger than the sum of its proper divisors (79299029489601).

205553454510399 is a wasteful number, since it uses less digits than its factorization.

205553454510399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978407.

The product of its (nonzero) digits is 72900000, while the sum is 60.

The spelling of 205553454510399 in words is "two hundred five trillion, five hundred fifty-three billion, four hundred fifty-four million, five hundred ten thousand, three hundred ninety-nine".