257984020489752 has 48 divisors (see below), whose sum is σ = 703333919024880. Its totient is φ = 85425172344000.

The previous prime is 257984020489751. The next prime is 257984020489771.

257984020489752 is a `hidden beast` number, since 2 + 5 + 7 + 98 + 4 + 0 + 2 + 0 + 489 + 7 + 52 = 666.

257984020489752 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257984020489751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11864596399 + ... + 11864618142.

It is an arithmetic number, because the mean of its divisors is an integer number (14652789979685).

Almost surely, 2^{257984020489752} is an apocalyptic number.

It is an amenable number.

257984020489752 is an abundant number, since it is smaller than the sum of its proper divisors (445349898535128).

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

257984020489752 is a wasteful number, since it uses less digits than its factorization.

257984020489752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23729214704 (or 23729214697 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 257984020489752 in words is "two hundred fifty-seven trillion, nine hundred eighty-four billion, twenty million, four hundred eighty-nine thousand, seven hundred fifty-two".