205461235072950 has 96 divisors (see below), whose sum is σ = 520392967718400. Its totient is φ = 53623126992000.

The previous prime is 205461235072937. The next prime is 205461235072967. The reversal of 205461235072950 is 59270532164502.

It is a junction number, because it is equal to n+sod(n) for n = 205461235072893 and 205461235072902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585686701 + ... + 586037399.

It is an arithmetic number, because the mean of its divisors is an integer number (5420760080400).

Almost surely, 2^{205461235072950} is an apocalyptic number.

205461235072950 is an abundant number, since it is smaller than the sum of its proper divisors (314931732645450).

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

205461235072950 is a wasteful number, since it uses less digits than its factorization.

205461235072950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433862 (or 433857 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 205461235072950 in words is "two hundred five trillion, four hundred sixty-one billion, two hundred thirty-five million, seventy-two thousand, nine hundred fifty".