257478002496 has 1008 divisors, whose sum is σ = 920773002240. Its totient is φ = 68246323200.

The previous prime is 257478002477. The next prime is 257478002533. The reversal of 257478002496 is 694200874752.

257478002496 is a `hidden beast` number, since 2 + 5 + 74 + 7 + 80 + 0 + 2 + 496 = 666.

257478002496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2499786381 + ... + 2499786483.

It is an arithmetic number, because the mean of its divisors is an integer number (913465280).

Almost surely, 2^257478002496 is an apocalyptic number.

257478002496 is a gapful number since it is divisible by the number (26) 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 257478002496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460386501120).

257478002496 is an abundant number, since it is smaller than the sum of its proper divisors (663294999744).

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

257478002496 is a wasteful number, since it uses less digits than its factorization.

257478002496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 257478002496 in words is "two hundred fifty-seven billion, four hundred seventy-eight million, two thousand, four hundred ninety-six".