257911879680 has 2304 divisors, whose sum is σ = 1226043786240. Its totient is φ = 50451185664.

The previous prime is 257911879679. The next prime is 257911879699. The reversal of 257911879680 is 86978119752.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3849431007 + ... + 3849431073.

It is an arithmetic number, because the mean of its divisors is an integer number (532137060).

Almost surely, 2^257911879680 is an apocalyptic number.

257911879680 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 257911879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613021893120).

257911879680 is an abundant number, since it is smaller than the sum of its proper divisors (968131906560).

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

257911879680 is a wasteful number, since it uses less digits than its factorization.

257911879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 257911879680 in words is "two hundred fifty-seven billion, nine hundred eleven million, eight hundred seventy-nine thousand, six hundred eighty".