257543292960 has 384 divisors, whose sum is σ = 939563089920. Its totient is φ = 65813990400.

The previous prime is 257543292949. The next prime is 257543292961. The reversal of 257543292960 is 69292345752.

257543292960 is a `hidden beast` number, since 2 + 5 + 7 + 543 + 2 + 9 + 2 + 96 + 0 = 666.

257543292960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 257543292897 and 257543292906.

It is not an unprimeable number, because it can be changed into a prime (257543292961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13784425 + ... + 13803095.

It is an arithmetic number, because the mean of its divisors is an integer number (2446778880).

Almost surely, 2^257543292960 is an apocalyptic number.

257543292960 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 257543292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469781544960).

257543292960 is an abundant number, since it is smaller than the sum of its proper divisors (682019796960).

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

257543292960 is a wasteful number, since it uses less digits than its factorization.

257543292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829 (or 18815 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 257543292960 in words is "two hundred fifty-seven billion, five hundred forty-three million, two hundred ninety-two thousand, nine hundred sixty".