257697054720 has 1360 divisors, whose sum is σ = 1126665344640. Its totient is φ = 55037657088.

The previous prime is 257697054707. The next prime is 257697054721. The reversal of 257697054720 is 27450796752.

It is a happy number.

257697054720 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 9 + 70 + 547 + 20 = 666.

It is a super-2 number, since 2×257697054720² (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 not an unprimeable number, because it can be changed into a prime (257697054721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3530096604 + ... + 3530096676.

Almost surely, 2^257697054720 is an apocalyptic number.

257697054720 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 257697054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563332672320).

257697054720 is an abundant number, since it is smaller than the sum of its proper divisors (868968289920).

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

257697054720 is an frugal number, since it uses more digits than its factorization.

257697054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 257697054720 in words is "two hundred fifty-seven billion, six hundred ninety-seven million, fifty-four thousand, seven hundred twenty".