10688912820 has 192 divisors, whose sum is σ = 35047918080. Its totient is φ = 2699136000.

The previous prime is 10688912813. The next prime is 10688912879. The reversal of 10688912820 is 2821988601.

It is a happy number.

It is a super-3 number, since 3×10688912820³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1250160 + ... + 1258680.

It is an arithmetic number, because the mean of its divisors is an integer number (182541240).

Almost surely, 2^10688912820 is an apocalyptic number.

10688912820 is a gapful number since it is divisible by the number (10) 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 10688912820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523959040).

10688912820 is an abundant number, since it is smaller than the sum of its proper divisors (24359005260).

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

10688912820 is a wasteful number, since it uses less digits than its factorization.

10688912820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10688912820 in words is "ten billion, six hundred eighty-eight million, nine hundred twelve thousand, eight hundred twenty".