257102420540 has 24 divisors (see below), whose sum is σ = 617045809632. Its totient is φ = 88149401280.

The previous prime is 257102420483. The next prime is 257102420567. The reversal of 257102420540 is 45024201752.

It is a super-2 number, since 2×257102420540² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257102420497 and 257102420506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918222791 + ... + 918223070.

It is an arithmetic number, because the mean of its divisors is an integer number (25710242068).

Almost surely, 2^257102420540 is an apocalyptic number.

257102420540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257102420540 is an abundant number, since it is smaller than the sum of its proper divisors (359943389092).

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

257102420540 is a wasteful number, since it uses less digits than its factorization.

257102420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836445877 (or 1836445875 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The spelling of 257102420540 in words is "two hundred fifty-seven billion, one hundred two million, four hundred twenty thousand, five hundred forty".