257961070527048 has 480 divisors, whose sum is σ = 875237855880960. Its totient is φ = 69524272304640.

The previous prime is 257961070526983. The next prime is 257961070527151. The reversal of 257961070527048 is 840725070169752.

257961070527048 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 61 + 0 + 7 + 0 + 527 + 0 + 48 = 666.

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 119 ways as a sum of consecutive naturals, for example, 381198513 + ... + 381874623.

It is an arithmetic number, because the mean of its divisors is an integer number (1823412199752).

Almost surely, 2^{257961070527048} is an apocalyptic number.

257961070527048 is a gapful number since it is divisible by the number (28) 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 257961070527048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437618927940480).

257961070527048 is an abundant number, since it is smaller than the sum of its proper divisors (617276785353912).

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

257961070527048 is a wasteful number, since it uses less digits than its factorization.

257961070527048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676407 (or 676375 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 257961070527048 in words is "two hundred fifty-seven trillion, nine hundred sixty-one billion, seventy million, five hundred twenty-seven thousand, forty-eight".