257948211960 has 128 divisors (see below), whose sum is σ = 870711552000. Its totient is φ = 67915456128.

The previous prime is 257948211839. The next prime is 257948211991. The reversal of 257948211960 is 69112849752.

It is a happy number.

257948211960 is a `hidden beast` number, since 2 + 5 + 79 + 482 + 1 + 1 + 96 + 0 = 666.

It is a super-2 number, since 2×257948211960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 257948211897 and 257948211906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426332 + ... + 1596971.

It is an arithmetic number, because the mean of its divisors is an integer number (6802434000).

Almost surely, 2^257948211960 is an apocalyptic number.

257948211960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257948211960 is an abundant number, since it is smaller than the sum of its proper divisors (612763340040).

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

257948211960 is a wasteful number, since it uses less digits than its factorization.

257948211960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023402 (or 3023392 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 257948211960 in words is "two hundred fifty-seven billion, nine hundred forty-eight million, two hundred eleven thousand, nine hundred sixty".