257040258508800 has 5184 divisors, whose sum is σ = 1122845870764800. Its totient is φ = 58282585620480.

The previous prime is 257040258508723. The next prime is 257040258508807. The reversal of 257040258508800 is 8805852040752.

257040258508800 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 4 + 0 + 2 + 58 + 508 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is not an unprimeable number, because it can be changed into a prime (257040258508807) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5468941670377 + ... + 5468941670423.

It is an arithmetic number, because the mean of its divisors is an integer number (216598354700).

Almost surely, 2^{257040258508800} is an apocalyptic number.

257040258508800 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 257040258508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561422935382400).

257040258508800 is an abundant number, since it is smaller than the sum of its proper divisors (865805612256000).

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

257040258508800 is an equidigital number, since it uses as much as digits as its factorization.

257040258508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 257040258508800 in words is "two hundred fifty-seven trillion, forty billion, two hundred fifty-eight million, five hundred eight thousand, eight hundred".