257011200000 has 936 divisors, whose sum is σ = 978249950496. Its totient is φ = 64880640000.

The previous prime is 257011199989. The next prime is 257011200053. The reversal of 257011200000 is 2110752.

257011200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2649599952 + ... + 2649600048.

It is an arithmetic number, because the mean of its divisors is an integer number (1045138836).

Almost surely, 2^257011200000 is an apocalyptic number.

257011200000 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 257011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489124975248).

257011200000 is an abundant number, since it is smaller than the sum of its proper divisors (721238750496).

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

257011200000 is an frugal number, since it uses more digits than its factorization.

257011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 257011200000 its reverse (2110752), we get a palindrome (257013310752).

The spelling of 257011200000 in words is "two hundred fifty-seven billion, eleven million, two hundred thousand".