257164195320 has 144 divisors (see below), whose sum is σ = 847727014680. Its totient is φ = 67610766720.

The previous prime is 257164195313. The next prime is 257164195357. The reversal of 257164195320 is 23591461752.

257164195320 is a `hidden beast` number, since 2 + 5 + 71 + 6 + 41 + 9 + 532 + 0 = 666.

It is a super-2 number, since 2×257164195320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1743907 + ... + 1885613.

Almost surely, 2^257164195320 is an apocalyptic number.

257164195320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257164195320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423863507340).

257164195320 is an abundant number, since it is smaller than the sum of its proper divisors (590562819360).

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

257164195320 is a wasteful number, since it uses less digits than its factorization.

257164195320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141866 (or 141788 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 257164195320 in words is "two hundred fifty-seven billion, one hundred sixty-four million, one hundred ninety-five thousand, three hundred twenty".