257852097720 has 96 divisors (see below), whose sum is σ = 957736372320. Its totient is φ = 58937621760.

The previous prime is 257852097719. The next prime is 257852097731. The reversal of 257852097720 is 27790258752.

257852097720 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 520 + 97 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51158611 + ... + 51163650.

It is an arithmetic number, because the mean of its divisors is an integer number (9976420545).

Almost surely, 2^257852097720 is an apocalyptic number.

257852097720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257852097720 is an abundant number, since it is smaller than the sum of its proper divisors (699884274600).

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

257852097720 is a wasteful number, since it uses less digits than its factorization.

257852097720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102322285 (or 102322278 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 257852097720 in words is "two hundred fifty-seven billion, eight hundred fifty-two million, ninety-seven thousand, seven hundred twenty".