257389196400 has 420 divisors, whose sum is σ = 1059599476432. Its totient is φ = 58831349760.

The previous prime is 257389196377. The next prime is 257389196429. The reversal of 257389196400 is 4691983752.

257389196400 is a `hidden beast` number, since 2 + 5 + 73 + 89 + 1 + 96 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1978152 + ... + 2104248.

It is a 1-persistent number, because it is pandigital, but 2⋅257389196400 = 514778392800 is not.

Almost surely, 2^257389196400 is an apocalyptic number.

257389196400 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 257389196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529799738216).

257389196400 is an abundant number, since it is smaller than the sum of its proper divisors (802210280032).

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

257389196400 is a wasteful number, since it uses less digits than its factorization.

257389196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126140 (or 126114 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 257389196400 in words is "two hundred fifty-seven billion, three hundred eighty-nine million, one hundred ninety-six thousand, four hundred".