688253829120 has 1408 divisors, whose sum is σ = 3044057345280. Its totient is φ = 144955146240.

The previous prime is 688253829101. The next prime is 688253829203. The reversal of 688253829120 is 21928352886.

It is a happy number.

688253829120 is a `hidden beast` number, since 6 + 8 + 82 + 538 + 2 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40485519352 + ... + 40485519368.

Almost surely, 2^688253829120 is an apocalyptic number.

688253829120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688253829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522028672640).

688253829120 is an abundant number, since it is smaller than the sum of its proper divisors (2355803516160).

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

688253829120 is an equidigital number, since it uses as much as digits as its factorization.

688253829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 688253829120 in words is "six hundred eighty-eight billion, two hundred fifty-three million, eight hundred twenty-nine thousand, one hundred twenty".