10775735620 has 192 divisors, whose sum is σ = 26636117760. Its totient is φ = 3627417600.

The previous prime is 10775735591. The next prime is 10775735653. The reversal of 10775735620 is 2653757701.

It is a super-2 number, since 2×10775735620² (a number of 21 digits) contains 22 as substring.

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, 16810500 + ... + 16811140.

It is an arithmetic number, because the mean of its divisors is an integer number (138729780).

Almost surely, 2^10775735620 is an apocalyptic number.

10775735620 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 10775735620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318058880).

10775735620 is an abundant number, since it is smaller than the sum of its proper divisors (15860382140).

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

10775735620 is a wasteful number, since it uses less digits than its factorization.

10775735620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 43.

The spelling of 10775735620 in words is "ten billion, seven hundred seventy-five million, seven hundred thirty-five thousand, six hundred twenty".