257942374560 has 1440 divisors, whose sum is σ = 1060653242880. Its totient is φ = 58873651200.

The previous prime is 257942374523. The next prime is 257942374609. The reversal of 257942374560 is 65473249752.

257942374560 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 4 + 2 + 3 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 257942374497 and 257942374506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1969025695 + ... + 1969025825.

It is an arithmetic number, because the mean of its divisors is an integer number (736564752).

Almost surely, 2^257942374560 is an apocalyptic number.

257942374560 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 257942374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530326621440).

257942374560 is an abundant number, since it is smaller than the sum of its proper divisors (802710868320).

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

257942374560 is a wasteful number, since it uses less digits than its factorization.

257942374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 257942374560 in words is "two hundred fifty-seven billion, nine hundred forty-two million, three hundred seventy-four thousand, five hundred sixty".