257903896320 has 1440 divisors, whose sum is σ = 1132546060800. Its totient is φ = 54727114752.

The previous prime is 257903896277. The next prime is 257903896331. The reversal of 257903896320 is 23698309752.

It is a happy number.

257903896320 is a `hidden beast` number, since 2 + 579 + 0 + 3 + 8 + 9 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 813576802 + ... + 813577118.

It is an arithmetic number, because the mean of its divisors is an integer number (786490320).

Almost surely, 2^257903896320 is an apocalyptic number.

257903896320 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 257903896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566273030400).

257903896320 is an abundant number, since it is smaller than the sum of its proper divisors (874642164480).

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

257903896320 is a wasteful number, since it uses less digits than its factorization.

257903896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 257903896320 in words is "two hundred fifty-seven billion, nine hundred three million, eight hundred ninety-six thousand, three hundred twenty".