257164848000 has 1536 divisors, whose sum is σ = 1069420060800. Its totient is φ = 60515942400.

The previous prime is 257164847993. The next prime is 257164848037. The reversal of 257164848000 is 848461752.

257164848000 is a `hidden beast` number, since 2 + 5 + 7 + 164 + 8 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×257164848000² (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 191 ways as a sum of consecutive naturals, for example, 2651183952 + ... + 2651184048.

Almost surely, 2^257164848000 is an apocalyptic number.

257164848000 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 257164848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534710030400).

257164848000 is an abundant number, since it is smaller than the sum of its proper divisors (812255212800).

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

257164848000 is a wasteful number, since it uses less digits than its factorization.

257164848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 257164848000 in words is "two hundred fifty-seven billion, one hundred sixty-four million, eight hundred forty-eight thousand".