257364046000 has 160 divisors (see below), whose sum is σ = 643978782720. Its totient is φ = 99376992000.

The previous prime is 257364045997. The next prime is 257364046007. The reversal of 257364046000 is 640463752.

257364046000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257364046007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25973047 + ... + 25982953.

It is an arithmetic number, because the mean of its divisors is an integer number (4024867392).

Almost surely, 2^257364046000 is an apocalyptic number.

257364046000 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 257364046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321989391360).

257364046000 is an abundant number, since it is smaller than the sum of its proper divisors (386614736720).

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

257364046000 is a wasteful number, since it uses less digits than its factorization.

257364046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 257364046000 in words is "two hundred fifty-seven billion, three hundred sixty-four million, forty-six thousand".