257145133220000 has 480 divisors, whose sum is σ = 668711123942400. Its totient is φ = 97035646464000.

The previous prime is 257145133219999. The next prime is 257145133220033. The reversal of 257145133220000 is 22331541752.

It is a super-2 number, since 2×257145133220000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154071379166 + ... + 154071380834.

It is an arithmetic number, because the mean of its divisors is an integer number (1393148174880).

Almost surely, 2^{257145133220000} is an apocalyptic number.

257145133220000 is a gapful number since it is divisible by the number (20) 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 257145133220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334355561971200).

257145133220000 is an abundant number, since it is smaller than the sum of its proper divisors (411565990722400).

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

257145133220000 is a wasteful number, since it uses less digits than its factorization.

257145133220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 257145133220000 its reverse (22331541752), we get a palindrome (257167464761752).

The spelling of 257145133220000 in words is "two hundred fifty-seven trillion, one hundred forty-five billion, one hundred thirty-three million, two hundred twenty thousand".