205845195402 has 512 divisors, whose sum is σ = 624757432320. Its totient is φ = 49010227200.

The previous prime is 205845195389. The next prime is 205845195427. The reversal of 205845195402 is 204591548502.

205845195402 is a `hidden beast` number, since 2 + 0 + 5 + 84 + 519 + 54 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350672953 + ... + 350673539.

It is an arithmetic number, because the mean of its divisors is an integer number (1220229360).

Almost surely, 2^205845195402 is an apocalyptic number.

205845195402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205845195402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312378716160).

205845195402 is an abundant number, since it is smaller than the sum of its proper divisors (418912236918).

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

205845195402 is a wasteful number, since it uses less digits than its factorization.

205845195402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 205845195402 in words is "two hundred five billion, eight hundred forty-five million, one hundred ninety-five thousand, four hundred two".