257042196461880 has 192 divisors, whose sum is σ = 910172484540000. Its totient is φ = 64512551190528.

The previous prime is 257042196461861. The next prime is 257042196461893. The reversal of 257042196461880 is 88164691240752.

It is a happy number.

257042196461880 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 4 + 2 + 1 + 9 + 6 + 4 + 618 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411456105 + ... + 412080344.

Almost surely, 2^{257042196461880} is an apocalyptic number.

257042196461880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257042196461880 is an abundant number, since it is smaller than the sum of its proper divisors (653130288078120).

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

257042196461880 is a wasteful number, since it uses less digits than its factorization.

257042196461880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823536503 (or 823536476 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 257042196461880 in words is "two hundred fifty-seven trillion, forty-two billion, one hundred ninety-six million, four hundred sixty-one thousand, eight hundred eighty".