257143747504 has 80 divisors (see below), whose sum is σ = 589169790720. Its totient is φ = 106377949440.

The previous prime is 257143747499. The next prime is 257143747519. The reversal of 257143747504 is 405747341752.

It is a super-2 number, since 2×257143747504² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18451419 + ... + 18465349.

It is an arithmetic number, because the mean of its divisors is an integer number (7364622384).

Almost surely, 2^257143747504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257143747504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294584895360).

257143747504 is an abundant number, since it is smaller than the sum of its proper divisors (332026043216).

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

257143747504 is a wasteful number, since it uses less digits than its factorization.

257143747504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19658 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 49.

The spelling of 257143747504 in words is "two hundred fifty-seven billion, one hundred forty-three million, seven hundred forty-seven thousand, five hundred four".