257767054272 has 420 divisors, whose sum is σ = 957239319960. Its totient is φ = 67981648896.

The previous prime is 257767054271. The next prime is 257767054333. The reversal of 257767054272 is 272450767752.

It is a happy number.

257767054272 is a `hidden beast` number, since 2 + 577 + 67 + 0 + 5 + 4 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257767054271) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3263179 + ... + 3341237.

It is an arithmetic number, because the mean of its divisors is an integer number (2279141238).

Almost surely, 2^257767054272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257767054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478619659980).

257767054272 is an abundant number, since it is smaller than the sum of its proper divisors (699472265688).

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

257767054272 is a wasteful number, since it uses less digits than its factorization.

257767054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78110 (or 78084 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 54.

The spelling of 257767054272 in words is "two hundred fifty-seven billion, seven hundred sixty-seven million, fifty-four thousand, two hundred seventy-two".