257007617220 has 24 divisors (see below), whose sum is σ = 719621328384. Its totient is φ = 68535364576.

The previous prime is 257007617219. The next prime is 257007617239. The reversal of 257007617220 is 22716700752.

257007617220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2141730084 + ... + 2141730203.

It is an arithmetic number, because the mean of its divisors is an integer number (29984222016).

Almost surely, 2^257007617220 is an apocalyptic number.

257007617220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257007617220 is an abundant number, since it is smaller than the sum of its proper divisors (462613711164).

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

257007617220 is a wasteful number, since it uses less digits than its factorization.

257007617220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283460299 (or 4283460297 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 257007617220 in words is "two hundred fifty-seven billion, seven million, six hundred seventeen thousand, two hundred twenty".