257670968940 has 1152 divisors, whose sum is σ = 1101684326400. Its totient is φ = 48721305600.

The previous prime is 257670968903. The next prime is 257670968953. The reversal of 257670968940 is 49869076752.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 241038726 + ... + 241039794.

It is an arithmetic number, because the mean of its divisors is an integer number (956323200).

Almost surely, 2^257670968940 is an apocalyptic number.

257670968940 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 257670968940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550842163200).

257670968940 is an abundant number, since it is smaller than the sum of its proper divisors (844013357460).

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

257670968940 is a wasteful number, since it uses less digits than its factorization.

257670968940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 257670968940 in words is "two hundred fifty-seven billion, six hundred seventy million, nine hundred sixty-eight thousand, nine hundred forty".