257750496125952 has 176 divisors, whose sum is σ = 716895207106560. Its totient is φ = 82178263687168.

The previous prime is 257750496125891. The next prime is 257750496125957. The reversal of 257750496125952 is 259521694057752.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (257750496125957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2615565193 + ... + 2615663735.

Almost surely, 2^{257750496125952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257750496125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358447603553280).

257750496125952 is an abundant number, since it is smaller than the sum of its proper divisors (459144710980608).

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

257750496125952 is a wasteful number, since it uses less digits than its factorization.

257750496125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135608 (or 135590 counting only the distinct ones).

The product of its (nonzero) digits is 476280000, while the sum is 69.

The spelling of 257750496125952 in words is "two hundred fifty-seven trillion, seven hundred fifty billion, four hundred ninety-six million, one hundred twenty-five thousand, nine hundred fifty-two".