257027281920 has 1056 divisors, whose sum is σ = 991410900480. Its totient is φ = 63661178880.

The previous prime is 257027281891. The next prime is 257027281949. The reversal of 257027281920 is 29182720752.

257027281920 is a `hidden beast` number, since 2 + 570 + 2 + 72 + 8 + 1 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257027281891) and next prime (257027281949).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1962040255 + ... + 1962040385.

It is an arithmetic number, because the mean of its divisors is an integer number (938836080).

Almost surely, 2^257027281920 is an apocalyptic number.

257027281920 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 257027281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495705450240).

257027281920 is an abundant number, since it is smaller than the sum of its proper divisors (734383618560).

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

257027281920 is a wasteful number, since it uses less digits than its factorization.

257027281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 257027281920 in words is "two hundred fifty-seven billion, twenty-seven million, two hundred eighty-one thousand, nine hundred twenty".