10688539680 has 1344 divisors, whose sum is σ = 49975107840. Its totient is φ = 2096160768.

The previous prime is 10688539607. The next prime is 10688539717. The reversal of 10688539680 is 8693588601.

It is a super-3 number, since 3×10688539680³ (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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 201670534 + ... + 201670586.

It is an arithmetic number, because the mean of its divisors is an integer number (37183860).

Almost surely, 2^10688539680 is an apocalyptic number.

10688539680 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 10688539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24987553920).

10688539680 is an abundant number, since it is smaller than the sum of its proper divisors (39286568160).

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

10688539680 is a wasteful number, since it uses less digits than its factorization.

10688539680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10688539680 in words is "ten billion, six hundred eighty-eight million, five hundred thirty-nine thousand, six hundred eighty".