257402109819216 has 160 divisors (see below), whose sum is σ = 691263756288000. Its totient is φ = 82445667217920.

The previous prime is 257402109819187. The next prime is 257402109819223. The reversal of 257402109819216 is 612918901204752.

It is a happy number.

It is a super-2 number, since 2×257402109819216² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 613267315 + ... + 613686893.

It is an arithmetic number, because the mean of its divisors is an integer number (4320398476800).

Almost surely, 2^{257402109819216} 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 257402109819216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345631878144000).

257402109819216 is an abundant number, since it is smaller than the sum of its proper divisors (433861646468784).

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

257402109819216 is a wasteful number, since it uses less digits than its factorization.

257402109819216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422537 (or 422531 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 257402109819216 in words is "two hundred fifty-seven trillion, four hundred two billion, one hundred nine million, eight hundred nineteen thousand, two hundred sixteen".