257342956416 has 1536 divisors, whose sum is σ = 1017960652800. Its totient is φ = 62866907136.

The previous prime is 257342956411. The next prime is 257342956417. The reversal of 257342956416 is 614659243752.

It is a happy number.

257342956416 is a `hidden beast` number, since 2 + 5 + 73 + 4 + 2 + 9 + 564 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257342956411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3840939615 + ... + 3840939681.

It is an arithmetic number, because the mean of its divisors is an integer number (662734800).

Almost surely, 2^257342956416 is an apocalyptic number.

257342956416 is a gapful number since it is divisible by the number (26) 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 257342956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508980326400).

257342956416 is an abundant number, since it is smaller than the sum of its proper divisors (760617696384).

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

257342956416 is a wasteful number, since it uses less digits than its factorization.

257342956416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 257342956416 in words is "two hundred fifty-seven billion, three hundred forty-two million, nine hundred fifty-six thousand, four hundred sixteen".