257998970880 has 1512 divisors, whose sum is σ = 1127836257912. Its totient is φ = 56407228416.

The previous prime is 257998970843. The next prime is 257998970893. The reversal of 257998970880 is 88079899752.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 257998970799 and 257998970808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11217346549 + ... + 11217346571.

It is an arithmetic number, because the mean of its divisors is an integer number (745923451).

Almost surely, 2^257998970880 is an apocalyptic number.

257998970880 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 257998970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563918128956).

257998970880 is an abundant number, since it is smaller than the sum of its proper divisors (869837287032).

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

257998970880 is an frugal number, since it uses more digits than its factorization.

257998970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 257998970880 in words is "two hundred fifty-seven billion, nine hundred ninety-eight million, nine hundred seventy thousand, eight hundred eighty".