257720704002 has 48 divisors (see below), whose sum is σ = 559194554880. Its totient is φ = 85783970400.

The previous prime is 257720703997. The next prime is 257720704013. The reversal of 257720704002 is 200407027752.

It is a super-3 number, since 3×257720704002³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 61199677 + ... + 61203887.

It is an arithmetic number, because the mean of its divisors is an integer number (11649886560).

Almost surely, 2^257720704002 is an apocalyptic number.

257720704002 is an abundant number, since it is smaller than the sum of its proper divisors (301473850878).

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

257720704002 is a wasteful number, since it uses less digits than its factorization.

257720704002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The spelling of 257720704002 in words is "two hundred fifty-seven billion, seven hundred twenty million, seven hundred four thousand, two".