257097196720 has 80 divisors (see below), whose sum is σ = 735693537600. Its totient is φ = 81367022592.

The previous prime is 257097196717. The next prime is 257097196739. The reversal of 257097196720 is 27691790752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×257097196720³ (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 15 ways as a sum of consecutive naturals, for example, 17650495 + ... + 17665054.

It is an arithmetic number, because the mean of its divisors is an integer number (9196169220).

Almost surely, 2^257097196720 is an apocalyptic number.

257097196720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257097196720 is an abundant number, since it is smaller than the sum of its proper divisors (478596340880).

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

257097196720 is a wasteful number, since it uses less digits than its factorization.

257097196720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35315582 (or 35315576 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 257097196720 in words is "two hundred fifty-seven billion, ninety-seven million, one hundred ninety-six thousand, seven hundred twenty".