257775416560 has 40 divisors (see below), whose sum is σ = 602433205200. Its totient is φ = 102575910912.

The previous prime is 257775416449. The next prime is 257775416567. The reversal of 257775416560 is 65614577752.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257775416567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8332210 + ... + 8363089.

It is an arithmetic number, because the mean of its divisors is an integer number (15060830130).

Almost surely, 2^257775416560 is an apocalyptic number.

257775416560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257775416560 is an abundant number, since it is smaller than the sum of its proper divisors (344657788640).

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

257775416560 is a wasteful number, since it uses less digits than its factorization.

257775416560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16695505 (or 16695499 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 55.

The spelling of 257775416560 in words is "two hundred fifty-seven billion, seven hundred seventy-five million, four hundred sixteen thousand, five hundred sixty".