257968488960 has 2240 divisors, whose sum is σ = 1202223052800. Its totient is φ = 52672757760.

The previous prime is 257968488937. The next prime is 257968488961. The reversal of 257968488960 is 69884869752.

257968488960 is a `hidden beast` number, since 2 + 57 + 9 + 6 + 8 + 488 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (257968488961) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8321564145 + ... + 8321564175.

It is an arithmetic number, because the mean of its divisors is an integer number (536706720).

Almost surely, 2^257968488960 is an apocalyptic number.

257968488960 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 257968488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601111526400).

257968488960 is an abundant number, since it is smaller than the sum of its proper divisors (944254563840).

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

257968488960 is an frugal number, since it uses more digits than its factorization.

257968488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 257968488960 in words is "two hundred fifty-seven billion, nine hundred sixty-eight million, four hundred eighty-eight thousand, nine hundred sixty".