10685010560 has 384 divisors, whose sum is σ = 31814208000. Its totient is φ = 3413975040.

The previous prime is 10685010547. The next prime is 10685010587. The reversal of 10685010560 is 6501058601.

It is a happy number.

It is a super-2 number, since 2×10685010560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28192451 + ... + 28192829.

It is an arithmetic number, because the mean of its divisors is an integer number (82849500).

Almost surely, 2^10685010560 is an apocalyptic number.

10685010560 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 10685010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907104000).

10685010560 is an abundant number, since it is smaller than the sum of its proper divisors (21129197440).

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

10685010560 is a wasteful number, since it uses less digits than its factorization.

10685010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 10685010560 in words is "ten billion, six hundred eighty-five million, ten thousand, five hundred sixty".