688557538668120 has 128 divisors (see below), whose sum is σ = 2254811229216000. Its totient is φ = 166823025338880.

The previous prime is 688557538668119. The next prime is 688557538668169. The reversal of 688557538668120 is 21866835755886.

It is a super-2 number, since 2×688557538668120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154068490 + ... + 158474649.

It is an arithmetic number, because the mean of its divisors is an integer number (17615712728250).

Almost surely, 2^{688557538668120} is an apocalyptic number.

688557538668120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688557538668120 is an abundant number, since it is smaller than the sum of its proper divisors (1566253690547880).

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

688557538668120 is a wasteful number, since it uses less digits than its factorization.

688557538668120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312544833 (or 312544829 counting only the distinct ones).

The product of its (nonzero) digits is 4644864000, while the sum is 78.

The spelling of 688557538668120 in words is "six hundred eighty-eight trillion, five hundred fifty-seven billion, five hundred thirty-eight million, six hundred sixty-eight thousand, one hundred twenty".