257012074000 has 640 divisors, whose sum is σ = 736451149824. Its totient is φ = 85817600000.

The previous prime is 257012073979. The next prime is 257012074001. The reversal of 257012074000 is 470210752.

257012074000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257012074000.

It is not an unprimeable number, because it can be changed into a prime (257012074001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2401981947 + ... + 2401982053.

Almost surely, 2^257012074000 is an apocalyptic number.

257012074000 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 257012074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368225574912).

257012074000 is an abundant number, since it is smaller than the sum of its proper divisors (479439075824).

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

257012074000 is a wasteful number, since it uses less digits than its factorization.

257012074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

Adding to 257012074000 its reverse (470210752), we get a palindrome (257482284752).

The spelling of 257012074000 in words is "two hundred fifty-seven billion, twelve million, seventy-four thousand".