257235803136 has 462 divisors, whose sum is σ = 835255341720. Its totient is φ = 79110660096.

The previous prime is 257235803131. The next prime is 257235803137. The reversal of 257235803136 is 631308532752.

257235803136 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 3 + 580 + 31 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257235803091 and 257235803100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257235803131) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 126156805 + ... + 126158843.

Almost surely, 2^257235803136 is an apocalyptic number.

257235803136 is a gapful number since it is divisible by the number (26) 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 257235803136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417627670860).

257235803136 is an abundant number, since it is smaller than the sum of its proper divisors (578019538584).

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

257235803136 is an equidigital number, since it uses as much as digits as its factorization.

257235803136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 257235803136 in words is "two hundred fifty-seven billion, two hundred thirty-five million, eight hundred three thousand, one hundred thirty-six".