205298861040 has 1440 divisors, whose sum is σ = 903962142720. Its totient is φ = 42389028864.

The previous prime is 205298861017. The next prime is 205298861069. The reversal of 205298861040 is 40168892502.

205298861040 is a `hidden beast` number, since 2 + 0 + 5 + 29 + 8 + 8 + 610 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1816804024 + ... + 1816804136.

It is an arithmetic number, because the mean of its divisors is an integer number (627751488).

Almost surely, 2^205298861040 is an apocalyptic number.

205298861040 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 205298861040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451981071360).

205298861040 is an abundant number, since it is smaller than the sum of its proper divisors (698663281680).

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

205298861040 is a wasteful number, since it uses less digits than its factorization.

205298861040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 205298861040 in words is "two hundred five billion, two hundred ninety-eight million, eight hundred sixty-one thousand, forty".