257234724471870 has 192 divisors, whose sum is σ = 673225886773440. Its totient is φ = 68144130883584.

The previous prime is 257234724471701. The next prime is 257234724471947. The reversal of 257234724471870 is 78174427432752.

257234724471870 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 3 + 4 + 7 + 2 + 447 + 187 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257234724471798 and 257234724471807.

It is a congruent number.

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, 45471930082 + ... + 45471935738.

It is an arithmetic number, because the mean of its divisors is an integer number (3506384826945).

Almost surely, 2^{257234724471870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257234724471870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336612943386720).

257234724471870 is an abundant number, since it is smaller than the sum of its proper divisors (415991162301570).

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

257234724471870 is a wasteful number, since it uses less digits than its factorization.

257234724471870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 147517440, while the sum is 63.

The spelling of 257234724471870 in words is "two hundred fifty-seven trillion, two hundred thirty-four billion, seven hundred twenty-four million, four hundred seventy-one thousand, eight hundred seventy".