257163574770040 has 256 divisors, whose sum is σ = 623771486997120. Its totient is φ = 95070120837120.

The previous prime is 257163574770007. The next prime is 257163574770077. The reversal of 257163574770040 is 40077475361752.

It is a super-2 number, since 2×257163574770040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13688369527 + ... + 13688388313.

Almost surely, 2^{257163574770040} is an apocalyptic number.

257163574770040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257163574770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311885743498560).

257163574770040 is an abundant number, since it is smaller than the sum of its proper divisors (366607912227080).

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

257163574770040 is a wasteful number, since it uses less digits than its factorization.

257163574770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20082 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 34574400, while the sum is 58.

The spelling of 257163574770040 in words is "two hundred fifty-seven trillion, one hundred sixty-three billion, five hundred seventy-four million, seven hundred seventy thousand, forty".