257720472110400 has 672 divisors, whose sum is σ = 964432819099008. Its totient is φ = 59689225420800.

The previous prime is 257720472110393. The next prime is 257720472110441. The reversal of 257720472110400 is 4011274027752.

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 95 ways as a sum of consecutive naturals, for example, 3703218004 + ... + 3703287596.

It is an arithmetic number, because the mean of its divisors is an integer number (1435167885564).

Almost surely, 2^{257720472110400} is an apocalyptic number.

257720472110400 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 257720472110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482216409549504).

257720472110400 is an abundant number, since it is smaller than the sum of its proper divisors (706712346988608).

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

257720472110400 is a wasteful number, since it uses less digits than its factorization.

257720472110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73139 (or 73124 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 257720472110400 in words is "two hundred fifty-seven trillion, seven hundred twenty billion, four hundred seventy-two million, one hundred ten thousand, four hundred".