257979128408 has 32 divisors (see below), whose sum is σ = 499347615360. Its totient is φ = 124820317440.

The previous prime is 257979128401. The next prime is 257979128411. The reversal of 257979128408 is 804821979752.

It is a super-3 number, since 3×257979128408³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257979128401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5470466 + ... + 5517422.

It is an arithmetic number, because the mean of its divisors is an integer number (15604612980).

Almost surely, 2^257979128408 is an apocalyptic number.

It is an amenable number.

257979128408 is a deficient number, since it is larger than the sum of its proper divisors (241368486952).

257979128408 is a wasteful number, since it uses less digits than its factorization.

257979128408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69147 (or 69143 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 62.

The spelling of 257979128408 in words is "two hundred fifty-seven billion, nine hundred seventy-nine million, one hundred twenty-eight thousand, four hundred eight".