257171554022040 has 96 divisors (see below), whose sum is σ = 955208629234080. Its totient is φ = 58782069490176.

The previous prime is 257171554022039. The next prime is 257171554022057. The reversal of 257171554022040 is 40220455171752.

It is a happy number.

257171554022040 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 71 + 554 + 0 + 2 + 20 + 4 + 0 = 666.

It is a super-2 number, since 2×257171554022040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 51026099469 + ... + 51026104508.

It is an arithmetic number, because the mean of its divisors is an integer number (9950089887855).

Almost surely, 2^{257171554022040} is an apocalyptic number.

257171554022040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257171554022040 is an abundant number, since it is smaller than the sum of its proper divisors (698037075212040).

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

257171554022040 is a wasteful number, since it uses less digits than its factorization.

257171554022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102052204001 (or 102052203994 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 257171554022040 in words is "two hundred fifty-seven trillion, one hundred seventy-one billion, five hundred fifty-four million, twenty-two thousand, forty".