205121401010864 has 120 divisors (see below), whose sum is σ = 434429941690800. Its totient is φ = 93773385538560.

The previous prime is 205121401010861. The next prime is 205121401010951. The reversal of 205121401010864 is 468010104121502.

205121401010864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205121401010861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951594779 + ... + 951810309.

It is an arithmetic number, because the mean of its divisors is an integer number (3620249514090).

Almost surely, 2^{205121401010864} 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 205121401010864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217214970845400).

205121401010864 is an abundant number, since it is smaller than the sum of its proper divisors (229308540679936).

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

205121401010864 is a wasteful number, since it uses less digits than its factorization.

205121401010864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218903 (or 218884 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 205121401010864 in words is "two hundred five trillion, one hundred twenty-one billion, four hundred one million, ten thousand, eight hundred sixty-four".