257984211045420 has 144 divisors (see below), whose sum is σ = 815613589190400. Its totient is φ = 68450081870016.

The previous prime is 257984211045413. The next prime is 257984211045443. The reversal of 257984211045420 is 24540112489752.

257984211045420 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 84 + 2 + 1 + 10 + 4 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132407662 + ... + 134341941.

Almost surely, 2^{257984211045420} is an apocalyptic number.

257984211045420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257984211045420 is an abundant number, since it is smaller than the sum of its proper divisors (557629378144980).

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

257984211045420 is a wasteful number, since it uses less digits than its factorization.

257984211045420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266749826 (or 266749812 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 257984211045420 in words is "two hundred fifty-seven trillion, nine hundred eighty-four billion, two hundred eleven million, forty-five thousand, four hundred twenty".