257040627354756 has 72 divisors (see below), whose sum is σ = 766515419231744. Its totient is φ = 71071141201920.

The previous prime is 257040627354713. The next prime is 257040627354773. The reversal of 257040627354756 is 657453726040752.

257040627354756 is a `hidden beast` number, since 2 + 5 + 70 + 4 + 0 + 62 + 7 + 35 + 475 + 6 = 666.

257040627354756 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×257040627354756³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 257040627354693 and 257040627354702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16451645245 + ... + 16451660868.

Almost surely, 2^{257040627354756} is an apocalyptic number.

It is an amenable number.

257040627354756 is an abundant number, since it is smaller than the sum of its proper divisors (509474791876988).

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

257040627354756 is a wasteful number, since it uses less digits than its factorization.

257040627354756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32903306161 (or 32903306156 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 63.

The spelling of 257040627354756 in words is "two hundred fifty-seven trillion, forty billion, six hundred twenty-seven million, three hundred fifty-four thousand, seven hundred fifty-six".