688035080656100 has 144 divisors (see below), whose sum is σ = 1604498193043200. Its totient is φ = 255152333568000.

The previous prime is 688035080656087. The next prime is 688035080656129. The reversal of 688035080656100 is 1656080530886.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8075581301 + ... + 8075666499.

It is an arithmetic number, because the mean of its divisors is an integer number (11142348562800).

Almost surely, 2^{688035080656100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688035080656100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802249096521600).

688035080656100 is an abundant number, since it is smaller than the sum of its proper divisors (916463112387100).

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

688035080656100 is a wasteful number, since it uses less digits than its factorization.

688035080656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156198 (or 156191 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 688035080656100 in words is "six hundred eighty-eight trillion, thirty-five billion, eighty million, six hundred fifty-six thousand, one hundred".