257251868152752 has 320 divisors, whose sum is σ = 733604471308800. Its totient is φ = 77034868162560.

The previous prime is 257251868152739. The next prime is 257251868152781.

257251868152752 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10639462999 + ... + 10639487177.

It is an arithmetic number, because the mean of its divisors is an integer number (2292513972840).

Almost surely, 2^{257251868152752} is an apocalyptic number.

257251868152752 is a gapful number since it is divisible by the number (22) 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 257251868152752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366802235654400).

257251868152752 is an abundant number, since it is smaller than the sum of its proper divisors (476352603156048).

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

257251868152752 is a wasteful number, since it uses less digits than its factorization.

257251868152752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25076 (or 25070 counting only the distinct ones).

The product of its digits is 188160000, while the sum is 66.

The spelling of 257251868152752 in words is "two hundred fifty-seven trillion, two hundred fifty-one billion, eight hundred sixty-eight million, one hundred fifty-two thousand, seven hundred fifty-two".