257995676418480 has 2880 divisors, whose sum is σ = 1218866987520000. Its totient is φ = 47530753966080.

The previous prime is 257995676418479. The next prime is 257995676418533. The reversal of 257995676418480 is 84814676599752.

257995676418480 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 9 + 5 + 67 + 64 + 18 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 257995676418480.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45752023501 + ... + 45752029139.

It is an arithmetic number, because the mean of its divisors is an integer number (423217704000).

Almost surely, 2^{257995676418480} is an apocalyptic number.

257995676418480 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 257995676418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609433493760000).

257995676418480 is an abundant number, since it is smaller than the sum of its proper divisors (960871311101520).

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

257995676418480 is a wasteful number, since it uses less digits than its factorization.

257995676418480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 257995676418480 in words is "two hundred fifty-seven trillion, nine hundred ninety-five billion, six hundred seventy-six million, four hundred eighteen thousand, four hundred eighty".