205697977457480 has 128 divisors (see below), whose sum is σ = 475130958192000. Its totient is φ = 80103356669952.

The previous prime is 205697977457431. The next prime is 205697977457591. The reversal of 205697977457480 is 84754779796502.

It is a junction number, because it is equal to n+sod(n) for n = 205697977457395 and 205697977457404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424932346 + ... + 1425076694.

It is an arithmetic number, because the mean of its divisors is an integer number (3711960610875).

Almost surely, 2^{205697977457480} is an apocalyptic number.

205697977457480 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 205697977457480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237565479096000).

205697977457480 is an abundant number, since it is smaller than the sum of its proper divisors (269432980734520).

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

205697977457480 is a wasteful number, since it uses less digits than its factorization.

205697977457480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147103 (or 147099 counting only the distinct ones).

The product of its (nonzero) digits is 7468070400, while the sum is 80.

The spelling of 205697977457480 in words is "two hundred five trillion, six hundred ninety-seven billion, nine hundred seventy-seven million, four hundred fifty-seven thousand, four hundred eighty".