257419897056 has 144 divisors (see below), whose sum is σ = 841238038368. Its totient is φ = 73142092800.

The previous prime is 257419897043. The next prime is 257419897099. The reversal of 257419897056 is 650798914752.

257419897056 is a `hidden beast` number, since 2 + 574 + 1 + 9 + 8 + 9 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 257419896984 and 257419897002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12166 + ... + 717626.

It is an arithmetic number, because the mean of its divisors is an integer number (5841930822).

Almost surely, 2^257419897056 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 257419897056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420619019184).

257419897056 is an abundant number, since it is smaller than the sum of its proper divisors (583818141312).

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

257419897056 is a wasteful number, since it uses less digits than its factorization.

257419897056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705665 (or 705654 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 257419897056 in words is "two hundred fifty-seven billion, four hundred nineteen million, eight hundred ninety-seven thousand, fifty-six".