257259820770 has 56 divisors (see below), whose sum is σ = 694283931036. Its totient is φ = 68602616928.

The previous prime is 257259820721. The next prime is 257259820841. The reversal of 257259820770 is 77028952752.

257259820770 is a `hidden beast` number, since 25 + 7 + 2 + 598 + 20 + 7 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206905807161 + 50354013609 = 454869^2 + 224397^2 .

It is a super-2 number, since 2×257259820770² (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 Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17637417 + ... + 17651996.

Almost surely, 2^257259820770 is an apocalyptic number.

257259820770 is an abundant number, since it is smaller than the sum of its proper divisors (437024110266).

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

257259820770 is an equidigital number, since it uses as much as digits as its factorization.

257259820770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35289438 (or 35289423 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 257259820770 in words is "two hundred fifty-seven billion, two hundred fifty-nine million, eight hundred twenty thousand, seven hundred seventy".