205400547432 has 144 divisors (see below), whose sum is σ = 612140474400. Its totient is φ = 62042967360.

The previous prime is 205400547419. The next prime is 205400547433. The reversal of 205400547432 is 234745004502.

205400547432 is a `hidden beast` number, since 20 + 54 + 0 + 0 + 547 + 43 + 2 = 666.

205400547432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205400547433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581757 + ... + 865587.

Almost surely, 2^205400547432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205400547432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306070237200).

205400547432 is an abundant number, since it is smaller than the sum of its proper divisors (406739926968).

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

205400547432 is a wasteful number, since it uses less digits than its factorization.

205400547432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283908 (or 283878 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 205400547432 in words is "two hundred five billion, four hundred million, five hundred forty-seven thousand, four hundred thirty-two".