257796774144 has 1080 divisors, whose sum is σ = 997677810360. Its totient is φ = 65548320768.

The previous prime is 257796774139. The next prime is 257796774181. The reversal of 257796774144 is 441477697752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3780774144 + 254016000000 = 61488^2 + 504000^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 383055792 + ... + 383056464.

Almost surely, 2^257796774144 is an apocalyptic number.

257796774144 is a gapful number since it is divisible by the number (24) 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 257796774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498838905180).

257796774144 is an abundant number, since it is smaller than the sum of its proper divisors (739881036216).

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

257796774144 is a wasteful number, since it uses less digits than its factorization.

257796774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 727 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 257796774144 in words is "two hundred fifty-seven billion, seven hundred ninety-six million, seven hundred seventy-four thousand, one hundred forty-four".