10690580880 has 960 divisors, whose sum is σ = 45902419200. Its totient is φ = 2304433152.

The previous prime is 10690580863. The next prime is 10690580921. The reversal of 10690580880 is 8808509601.

10690580880 is a `hidden beast` number, since 1 + 0 + 69 + 0 + 580 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×10690580880² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 248618139 + ... + 248618181.

It is an arithmetic number, because the mean of its divisors is an integer number (47815020).

Almost surely, 2^10690580880 is an apocalyptic number.

10690580880 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 10690580880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22951209600).

10690580880 is an abundant number, since it is smaller than the sum of its proper divisors (35211838320).

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

10690580880 is an equidigital number, since it uses as much as digits as its factorization.

10690580880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10690580880 in words is "ten billion, six hundred ninety million, five hundred eighty thousand, eight hundred eighty".