257200840512 has 448 divisors, whose sum is σ = 965711738880. Its totient is φ = 65174630400.

The previous prime is 257200840459. The next prime is 257200840513. The reversal of 257200840512 is 215048002752.

It is a happy number.

257200840512 is a `hidden beast` number, since 2 + 572 + 0 + 0 + 84 + 0 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257200840513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5431723 + ... + 5478869.

It is an arithmetic number, because the mean of its divisors is an integer number (2155606560).

Almost surely, 2^257200840512 is an apocalyptic number.

257200840512 is a gapful number since it is divisible by the number (22) 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 257200840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482855869440).

257200840512 is an abundant number, since it is smaller than the sum of its proper divisors (708510898368).

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

257200840512 is a wasteful number, since it uses less digits than its factorization.

257200840512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47227 (or 47211 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 257200840512 in words is "two hundred fifty-seven billion, two hundred million, eight hundred forty thousand, five hundred twelve".