257503810378756 has 48 divisors (see below), whose sum is σ = 456310419941376. Its totient is φ = 127131114600864.

The previous prime is 257503810378699. The next prime is 257503810378799. The reversal of 257503810378756 is 657873018305752.

It is a happy number.

It is a super-2 number, since 2×257503810378756² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 257503810378691 and 257503810378700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12153848395 + ... + 12153869581.

It is an arithmetic number, because the mean of its divisors is an integer number (9506467082112).

Almost surely, 2^{257503810378756} is an apocalyptic number.

It is an amenable number.

257503810378756 is a deficient number, since it is larger than the sum of its proper divisors (198806609562620).

257503810378756 is a wasteful number, since it uses less digits than its factorization.

257503810378756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39568 (or 39566 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 67.

The spelling of 257503810378756 in words is "two hundred fifty-seven trillion, five hundred three billion, eight hundred ten million, three hundred seventy-eight thousand, seven hundred fifty-six".