257106506800 has 240 divisors, whose sum is σ = 729770791680. Its totient is φ = 85815936000.

The previous prime is 257106506753. The next prime is 257106506801. The reversal of 257106506800 is 8605601752.

It is a super-2 number, since 2×257106506800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (257106506801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10226245 + ... + 10251355.

It is an arithmetic number, because the mean of its divisors is an integer number (3040711632).

Almost surely, 2^257106506800 is an apocalyptic number.

257106506800 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 257106506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364885395840).

257106506800 is an abundant number, since it is smaller than the sum of its proper divisors (472664284880).

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

257106506800 is a wasteful number, since it uses less digits than its factorization.

257106506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332 (or 25321 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 257106506800 in words is "two hundred fifty-seven billion, one hundred six million, five hundred six thousand, eight hundred".