257252386406400 has 3648 divisors, whose sum is σ = 1198293590016000. Its totient is φ = 52557565132800.

The previous prime is 257252386406387. The next prime is 257252386406413. The reversal of 257252386406400 is 4604683252752.

257252386406400 is a `hidden beast` number, since 2 + 5 + 7 + 252 + 386 + 4 + 0 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257252386406387) and next prime (257252386406413).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1076369817481 + ... + 1076369817719.

Almost surely, 2^{257252386406400} is an apocalyptic number.

257252386406400 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 257252386406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599146795008000).

257252386406400 is an abundant number, since it is smaller than the sum of its proper divisors (941041203609600).

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

257252386406400 is an equidigital number, since it uses as much as digits as its factorization.

257252386406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 257252386406400 in words is "two hundred fifty-seven trillion, two hundred fifty-two billion, three hundred eighty-six million, four hundred six thousand, four hundred".