257442153210 has 192 divisors, whose sum is σ = 738368991360. Its totient is φ = 61713600000.

The previous prime is 257442153193. The next prime is 257442153211. The reversal of 257442153210 is 12351244752.

257442153210 is a `hidden beast` number, since 2 + 5 + 74 + 42 + 1 + 532 + 10 = 666.

It is a super-2 number, since 2×257442153210² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257442153211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130086001 + ... + 130087979.

It is an arithmetic number, because the mean of its divisors is an integer number (3845671830).

Almost surely, 2^257442153210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257442153210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369184495680).

257442153210 is an abundant number, since it is smaller than the sum of its proper divisors (480926838150).

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

257442153210 is a wasteful number, since it uses less digits than its factorization.

257442153210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 257442153210 its reverse (12351244752), we get a palindrome (269793397962).

The spelling of 257442153210 in words is "two hundred fifty-seven billion, four hundred forty-two million, one hundred fifty-three thousand, two hundred ten".