257074674120 has 384 divisors, whose sum is σ = 932214441600. Its totient is φ = 60914073600.

The previous prime is 257074674119. The next prime is 257074674187. The reversal of 257074674120 is 21476470752.

257074674120 is a `hidden beast` number, since 2 + 570 + 7 + 4 + 6 + 74 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39371016 + ... + 39377544.

It is an arithmetic number, because the mean of its divisors is an integer number (2427641775).

Almost surely, 2^257074674120 is an apocalyptic number.

257074674120 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 257074674120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466107220800).

257074674120 is an abundant number, since it is smaller than the sum of its proper divisors (675139767480).

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

257074674120 is a wasteful number, since it uses less digits than its factorization.

257074674120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 257074674120 in words is "two hundred fifty-seven billion, seventy-four million, six hundred seventy-four thousand, one hundred twenty".