257840190760 has 32 divisors (see below), whose sum is σ = 580771785600. Its totient is φ = 103023835200.

The previous prime is 257840190737. The next prime is 257840190787. The reversal of 257840190760 is 67091048752.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3470316 + ... + 3543835.

It is an arithmetic number, because the mean of its divisors is an integer number (18149118300).

Almost surely, 2^257840190760 is an apocalyptic number.

257840190760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257840190760 is an abundant number, since it is smaller than the sum of its proper divisors (322931594840).

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

257840190760 is a wasteful number, since it uses less digits than its factorization.

257840190760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015081 (or 7015077 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 257840190760 in words is "two hundred fifty-seven billion, eight hundred forty million, one hundred ninety thousand, seven hundred sixty".