205106400000 has 648 divisors, whose sum is σ = 752894342928. Its totient is φ = 53683200000.

The previous prime is 205106399983. The next prime is 205106400011. The reversal of 205106400000 is 4601502.

It is a happy number.

205106400000 is a `hidden beast` number, since 20 + 5 + 1 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

205106400000 is digitally balanced in base 3, because in such base 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439199767 + ... + 439200233.

It is an arithmetic number, because the mean of its divisors is an integer number (1161873986).

Almost surely, 2^205106400000 is an apocalyptic number.

205106400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205106400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376447171464).

205106400000 is an abundant number, since it is smaller than the sum of its proper divisors (547787942928).

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

205106400000 is an frugal number, since it uses more digits than its factorization.

205106400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 205106400000 in words is "two hundred five billion, one hundred six million, four hundred thousand".