257998793472 has 864 divisors, whose sum is σ = 928085558400. Its totient is φ = 67268247552.

The previous prime is 257998793461. The next prime is 257998793477. The reversal of 257998793472 is 274397899752.

257998793472 is a `hidden beast` number, since 2 + 5 + 79 + 9 + 87 + 9 + 3 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (480090240) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 257998793472.

It is not an unprimeable number, because it can be changed into a prime (257998793477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2366961354 + ... + 2366961462.

It is an arithmetic number, because the mean of its divisors is an integer number (1074173100).

Almost surely, 2^257998793472 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 257998793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464042779200).

257998793472 is an abundant number, since it is smaller than the sum of its proper divisors (670086764928).

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

257998793472 is a wasteful number, since it uses less digits than its factorization.

257998793472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 257998793472 in words is "two hundred fifty-seven billion, nine hundred ninety-eight million, seven hundred ninety-three thousand, four hundred seventy-two".