10689779520 has 896 divisors, whose sum is σ = 47033809920. Its totient is φ = 2229534720.

The previous prime is 10689779497. The next prime is 10689779521. The reversal of 10689779520 is 2597798601.

10689779520 is a `hidden beast` number, since 106 + 8 + 9 + 7 + 7 + 9 + 520 = 666.

It is a super-2 number, since 2×10689779520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689779521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38041780 + ... + 38042060.

Almost surely, 2^10689779520 is an apocalyptic number.

10689779520 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 10689779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516904960).

10689779520 is an abundant number, since it is smaller than the sum of its proper divisors (36344030400).

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

10689779520 is a wasteful number, since it uses less digits than its factorization.

10689779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10689779520 in words is "ten billion, six hundred eighty-nine million, seven hundred seventy-nine thousand, five hundred twenty".